, ,

To find the LCM for a list of fractions, check if denominators are similar or not.

Fractions with the same denominator:

1:

Fractions with different denominators such as, :

1: Find the LCM of and

2: Multiply the numerator and denominator of the first fraction by

3: Multiply the numerator and denominator of the second fraction by

4: After making the denominators for all the fractions same, in this case, only two fractions, find the LCM of the new numerators

5: The LCM will be the

The LCM is the smallest positive number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

Since has no factors besides and .

is a prime number

has factors of and .

Since has no factors besides and .

is a prime number

The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.

The LCM of is .

Multiply by .

Multiply by .

Divide by .

Multiply the numerator and denominator of by .

Multiply by .

Multiply by .

Divide by .

Multiply the numerator and denominator of by .

Multiply by .

Multiply by .

Divide by .

Multiply the numerator and denominator of by .

Multiply by .

Multiply by .

The new list with the same denominator is .

The LCM is the smallest positive number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

The prime factors for are .

has factors of and .

has factors of and .

has factors of and .

The prime factors for are .

has factors of and .

has factors of and .

has factors of and .

The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.

The LCM of is .

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Divide the LCM of by the LCM of .

Divide by .

Find the LCM 3/2 , 5/6 , 9/7