# Algebra Examples

, ,

To find the LCM for a list of fractions such as using GCF:

1. Find the LCM of and .

2. Find the LCM of and .

3. .

The LCM is the smallest 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 factorization of is .

has factors of and .

has factors of and .

: Occurs times.

: Occurs time.

has factors of and .

: Occurs times.

has factors of and .

: Occurs times.

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 .

Find the GCF of the denominators .

Divide by .