Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Upper Level Math : How to find the least common multiple

Study concepts, example questions & explanations for ISEE Upper Level Math

Create An Account

All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Least Common Multiple

30 is the least common mutiple of 10 and which of these numbers?

Possible Answers:

Correct answer:

Explanation:

9, 12, and 20 can be eliminated immediately, since none of these have 30 as a multiple [30 divided by any of them yields a remainder].

LCM(5,10) = 10 since 10 is a multiple of 5, so 5 can be eliminated.

The set of multiples of 10 is $\left \{ 10,20,\underline{30},40,50...\right \}$ and the set of multiples of 15 is $\left \{ 15, \underline{30}, 45, 60,...\right \}$ ; since 30 is the smallest number that appears on both lists, LCM (10,15) = 30 .

Report an Error

Example Question #2 : Least Common Multiple

What is the least common multiple of 16 and 20?

Possible Answers:

120

160

Correct answer:

Explanation:

$\textrm{LCM }(16,20)$ is the lowest number that is a multiple of both 16 and 20, so we see which is the first number that appears in both lists of multiples.

The multiples of 16:

$\left \{ 16, 32, 48, 64, \underline{80}, 96, 112,...\right \}$

The multiples of 20:

$\left \{ 20, 40, 60, \underline{80}, 100, 120,...\right \}$

$\textrm{LCM }(16,20) = 80$

Report an Error

Example Question #1 : How To Find The Least Common Multiple

Which of the following is the least common multiple of 6, 9, and 12?

Possible Answers:

648

Correct answer:

Explanation:

The least common multiple is the smallest number in value that is a multiple of all three of the numbers. The best way to find the least common multiple (LCM) is to make a quick list of the first few multiples of each number, and then identify the smallest number that is common to all three lists.

Multiples are numbers that you get when multiplying the original number by other numbers.

6: 6, 12, 18, 24, 30, 36

9: 9, 18, 27, 36, 45, 54

12: 12, 24, 36, 48, 60, 72

18 is an answer choice that is common to both 6 and 9, but it is not also a multiple of 12, so it is not correct.

The smallest value that is a common multiple of all three is 36, so this is the LCM.

While 648 is a multiple of all three numbers, it is not the least common multiple of the three numbers.

Report an Error

Example Question #4 : Least Common Multiple

$\frac{3}{5} + \frac{4}{7} - \frac{1}{3}=$

Possible Answers:

1/5

88/105

2/3

158/105

123/105

Correct answer:

88/105

Explanation:

This equation should be solved from left to right, finding the least common denominator for each pair. First we find the least common denominator of 3/5 and 4/7 , which is . The fractions then become 21/35 and 20/35 . 1/3 is then subtracted from that sum:

3/5 + 4/7 - 1/3=21/35+20/35-1/3=63/105+60/105-35/105=88/105

Report an Error

Example Question #3 : Least Common Multiple

What is the least common multiple of and ?

Possible Answers:

Correct answer:

Explanation:

Find all of the factors of both 9 and 6:

$9=3\times3$

$6=2\times3$

Eliminate all factors that 9 and 6 have in common, in this instance 3 (only eliminate the repeated instance). Multiply all factors that are not in common:

$LCM=3\times2\times3=18$

Report an Error

Example Question #3 : Least Common Multiple

Which of the following values of makes this statement true?

LCM (N,15) = N

Possible Answers:

N = 250

N = 655

N = 375

N = 425

N = 950

Correct answer:

N = 375

Explanation:

For LCM (N,15) = N to be a true statement, must be a multiple of 15.

$250 \div 15 = 16 \textrm{ R }10$

$375 \div 15= 25$

$425 \div 15 = 28 \textrm{ R }5$

$655 \div 15 = 43 \textrm{ R }10$

$950 \div 15 = 63 \textrm{ R } 5$

Only 375 yields no remainder when divided by 15.

Report an Error

Example Question #4 : Least Common Multiple

Which of the following values of makes this statement true?

LCM (N,20) = N

Possible Answers:

N=160

N=720

N=440

All answer choices are correct.

N=320

Correct answer:

All answer choices are correct.

Explanation:

For LCM (N,20) = N to be a true statement, must be a multiple of . Each of the four values given is divisible by , as seen below:

$160 \div 20 = 8$

$320 \div 20= 16$

$440 \div 20 = 22$

$720 \div 20= 36$

Report an Error

Example Question #5 : Least Common Multiple

Which of the following values of makes this statement false?

LCM (N,20) = 20

Possible Answers:

N = 4

N = 2

N = 10

N = 8

N = 5

Correct answer:

N = 8

Explanation:

For LCM (N,20) = 20 to be true, must be a factor of . Of the five choices, all are factors of except for . This is the correct choice.

Report an Error

Example Question #483 : Isee Upper Level (Grades 9 12) Mathematics Achievement

What is the least common multiple of 15 and 18?

Possible Answers:

270

Correct answer:

Explanation:

To find the least common multiple, you need to determine the multiple that both numbers share that is of the least value. List the multiples of each number and identify the first number (least value) that is in both lists:

15: 15, 30, 45, 60, 75, 90

18: 18, 36, 54, 72, 90

The LCM of 15 and 18 is 90 since it is the first number that shows up in both lists.

Report an Error

Example Question #9 : How To Find The Least Common Multiple

What is the least common multiple of 4, 12, and 16?

Possible Answers:

768

Correct answer:

Explanation:

To find the least common multiple, you need to determine the multiple that all three numbers share that is of the least value. List the multiples of each number and identify the first number (least value) that is in both lists:

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

12: 12, 24, 36, 48

16: 16, 32, 48

The LCM of 4, 12, and 16 is 48 since it is the first number that shows up in all three lists.

Report an Error

View Tutors

Andrew
Certified Tutor

Swarthmore College, Bachelor in Arts, Philosophy.

View Tutors

Chase
Certified Tutor

Western Governors University, Bachelor of Science, Mathematics.

View Tutors

Omar
Certified Tutor

Arizona State University, Bachelors, Civil Engineering.

All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Biology Tutors in Phoenix, GRE Tutors in Dallas Fort Worth, English Tutors in Washington DC, Calculus Tutors in Los Angeles, GRE Tutors in Houston, French Tutors in Miami, Computer Science Tutors in Houston, Math Tutors in San Diego, Algebra Tutors in Atlanta, ACT Tutors in Seattle

Popular Courses & Classes

ACT Courses & Classes in Chicago, SSAT Courses & Classes in Philadelphia, SAT Courses & Classes in Atlanta, GMAT Courses & Classes in Houston, GMAT Courses & Classes in Chicago, MCAT Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Washington DC, ACT Courses & Classes in Los Angeles, GRE Courses & Classes in San Diego, GRE Courses & Classes in Atlanta

Popular Test Prep

ISEE Test Prep in Los Angeles, MCAT Test Prep in Phoenix, GMAT Test Prep in Houston, MCAT Test Prep in San Francisco-Bay Area, ACT Test Prep in Los Angeles, SSAT Test Prep in San Diego, ACT Test Prep in Houston, SSAT Test Prep in Seattle, GMAT Test Prep in Los Angeles, SAT Test Prep in Washington DC

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

ISEE Upper Level Math : How to find the least common multiple

Study concepts, example questions & explanations for ISEE Upper Level Math

All ISEE Upper Level Math Resources

Example Questions

Example Question #1 : Least Common Multiple

Example Question #2 : Least Common Multiple

Example Question #1 : How To Find The Least Common Multiple

Example Question #4 : Least Common Multiple

Example Question #3 : Least Common Multiple

Example Question #3 : Least Common Multiple

Example Question #4 : Least Common Multiple

Example Question #5 : Least Common Multiple

Example Question #483 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #9 : How To Find The Least Common Multiple

All ISEE Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: