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Find LCM of two numbers with a Venn diagram

Find lowest common multiple of two numbers with a Venn diagram

The skill teaches how to find the lowest common multiple (LCM) of numbers using a Venn diagram. First, determine the prime factorization of each number. Then, create a Venn diagram to visually represent the unique and shared factors. Multiply these factors, shared only once, to find the LCM.

Learn find LCM of two numbers with a Venn diagram

Teaching Transcript

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Let's find the lowest common multiple of 4, 6, and 10

First, find the prime factorization of each number

Now let's make a venn diagram of those factors, with the shared factor, 2, in the center, and the distinct factors in the non-overlapping part of the circle

The lowest common multiple comes from the full set of distinct factors, but any shared factors we only count once. So our lowest common multiple is 2 times 2 times 3 times 5, or 60

Skill Practice

Find lowest common multiple of two numbers with a Venn diagram

Test your understanding of find LCM of two numbers with a Venn diagram by practicing it! Work through the below exercises to use it in practice.