Examples

Find the LCM Using the GCF
, ,
Step 1
Cancel the common factor of and .
Tap for more steps...
Step 1.1
Factor out of .
Step 1.2
Cancel the common factors.
Tap for more steps...
Step 1.2.1
Factor out of .
Step 1.2.2
Cancel the common factor.
Step 1.2.3
Rewrite the expression.
Step 2
To find the LCM for a list of fractions such as using GCF:
1. Find the LCM of and .
2. Find the GCF of and .
3. .
Step 3
Calculate the LCM of the numerators .
Tap for more steps...
Step 3.1
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.
Step 3.2
The prime factors for are .
Tap for more steps...
Step 3.2.1
has factors of and .
Step 3.2.2
has factors of and .
Step 3.3
has factors of and .
Step 3.4
Since has no factors besides and .
is a prime number
Step 3.5
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.
Step 3.6
Multiply .
Tap for more steps...
Step 3.6.1
Multiply by .
Step 3.6.2
Multiply by .
Step 4
Find the GCF of the denominators .
Step 5
Divide by .
Enter YOUR Problem
Mathway requires javascript and a modern browser.