How to find the lowest / least common denominator - ACT Math

LCM = least common multiple = 2 x 2 x 3 x 5 = 60

GCF = greatest common factor = 3

Prime factor each number

3 = 3 x 1

12 = 3 x 4 = 3 x 2 x 2

30 = 5 x 6 = 5 x 2 x 3

LCM – GCF = 60 – 3 = 57

All of the denominators must be able to divide into the same number. First, see if the three smaller numbers (3, 4, 12) divide into the largest number (15)—NO. Then check the multiples of the largest number to see if the lower numbers divide into it:

15 * 2 = 30 (NO)

15 * 3 = 45 (NO)

15 * 4 = 60 (YES!)

In order to find the least common denominator, you must find the least common multiple of all three numbers. For this problem, the least common multiple of all three numbers is 16 (divisible by 2, 4, 8 , 1, and 16).

The lowest common denominator looks at the denominator (bottom number) of all of the fractions and finds the smallest number that all of the numbers divide into.

Of those numbers the largest is 18. First check to see if all the numbers divide into 18. 3 and 6 do, but 4 and 12 do not. Multiply 18 by 2 and get 36. Check to see if all the numbers divide into 36. 3 and 6 still do. 4 and 12 do now. therefore. 36 is the lowest common denominator.

The least common multiple of 3, 10, and 12 is 60. 60 is divisible by all three numbers (60/3 = 20, 60/10 = 6, and 60/12 = 5). Therefore, you could convert these fractions to 20/60, 25/60, and 42/60.

Finding the common denomenator of yields a result of

In order to find the least common denominator, you must find the least common multiple of all three numbers. For this problem, the least common multiple of all three numbers is 16 (divisible by 2, 4, 8 , 1, and 16).

The lowest common denominator looks at the denominator (bottom number) of all of the fractions and finds the smallest number that all of the numbers divide into.

Of those numbers the largest is 18. First check to see if all the numbers divide into 18. 3 and 6 do, but 4 and 12 do not. Multiply 18 by 2 and get 36. Check to see if all the numbers divide into 36. 3 and 6 still do. 4 and 12 do now. therefore. 36 is the lowest common denominator.

The least common multiple of 3, 10, and 12 is 60. 60 is divisible by all three numbers (60/3 = 20, 60/10 = 6, and 60/12 = 5). Therefore, you could convert these fractions to 20/60, 25/60, and 42/60.

LCM = least common multiple = 2 x 2 x 3 x 5 = 60

GCF = greatest common factor = 3

Prime factor each number

3 = 3 x 1

12 = 3 x 4 = 3 x 2 x 2

30 = 5 x 6 = 5 x 2 x 3

LCM – GCF = 60 – 3 = 57

All of the denominators must be able to divide into the same number. First, see if the three smaller numbers (3, 4, 12) divide into the largest number (15)—NO. Then check the multiples of the largest number to see if the lower numbers divide into it:

15 * 2 = 30 (NO)

15 * 3 = 45 (NO)

15 * 4 = 60 (YES!)

Finding the common denomenator of yields a result of

In order to find the least common denominator, you must find the least common multiple of all three numbers. For this problem, the least common multiple of all three numbers is 16 (divisible by 2, 4, 8 , 1, and 16).

The lowest common denominator looks at the denominator (bottom number) of all of the fractions and finds the smallest number that all of the numbers divide into.

Of those numbers the largest is 18. First check to see if all the numbers divide into 18. 3 and 6 do, but 4 and 12 do not. Multiply 18 by 2 and get 36. Check to see if all the numbers divide into 36. 3 and 6 still do. 4 and 12 do now. therefore. 36 is the lowest common denominator.

The least common multiple of 3, 10, and 12 is 60. 60 is divisible by all three numbers (60/3 = 20, 60/10 = 6, and 60/12 = 5). Therefore, you could convert these fractions to 20/60, 25/60, and 42/60.

LCM = least common multiple = 2 x 2 x 3 x 5 = 60

GCF = greatest common factor = 3

Prime factor each number

3 = 3 x 1

12 = 3 x 4 = 3 x 2 x 2

30 = 5 x 6 = 5 x 2 x 3

LCM – GCF = 60 – 3 = 57

All of the denominators must be able to divide into the same number. First, see if the three smaller numbers (3, 4, 12) divide into the largest number (15)—NO. Then check the multiples of the largest number to see if the lower numbers divide into it:

15 * 2 = 30 (NO)

15 * 3 = 45 (NO)

15 * 4 = 60 (YES!)

Finding the common denomenator of yields a result of

In order to find the least common denominator, you must find the least common multiple of all three numbers. For this problem, the least common multiple of all three numbers is 16 (divisible by 2, 4, 8 , 1, and 16).

The lowest common denominator looks at the denominator (bottom number) of all of the fractions and finds the smallest number that all of the numbers divide into.

Of those numbers the largest is 18. First check to see if all the numbers divide into 18. 3 and 6 do, but 4 and 12 do not. Multiply 18 by 2 and get 36. Check to see if all the numbers divide into 36. 3 and 6 still do. 4 and 12 do now. therefore. 36 is the lowest common denominator.