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- Find the prime factorisation of each of the two numbers.
- Select the primes which appear in both factorisations.
- Multiply these factors together.
If a prime factor appears n times in each factorisation then it must appear n times in the list of factors to be multiplied together.
Prime factorization.
Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF.
You need at least two numbers to find a GCF. Once you have them, you can
1. Compare their lists of factors, or
2. Compare their prime factorizations.
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the highest amount of each factor.
2 x 3 x 5 x 7 = 210, the LCM
Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
Add your answer:
Earn +20 pts
What is the easiest and fastest way to find the LCM?
Prime factorization, Example: 30 and 42 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Combine the factors, eliminating duplicates. 2 x 3 x 5 x 7 = 210, the LCM
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