Pre-Algebra Examples

Find the LCM Using the GCF -3/2 , 1
,
Step 1
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 2
Calculate the LCM of the numerators .
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Step 2.1
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 2.2
Since the LCM is the smallest positive number,
Step 2.3
Since has no factors besides and .
is a prime number
Step 2.4
The number is not a prime number because it only has one positive factor, which is itself.
Not prime
Step 2.5
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.
Step 3
Find the GCF of the denominators .
Step 4
Divide by .