# 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. .
Calculate the LCM of the numerators to get .
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
Steps to find the LCM for are:
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
Since has no factors besides and .
is a prime number
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. In this case, the prime factors are .
The LCM of is .
Multiply by to get .
Multiply by to get .
Find the GCF of the denominators to get .
Divide by to get .

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