# What is the LCM of 3, 7, and 6?

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#### Explanation

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#### Explanation:

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Nov 23, 2016

$42.$

#### Explanation:

6 is a multiple of 3, so any multiple of 6 can be expressed as a multiple of 3 as well. A brute force way of doing it is simply listing some multiples for each number until we get a shared multiple.

For 6:
$6 , 12 , 18 , 24 , 30 , 36 , 42$

For 7:
$7 , 14 , 21 , 28 , 35 , 42$

We see that the least common multiple of $6$ and $7$ is $42$. Remember, 6 is simply $3 \cdot 2$, so 42 is also a multiple of $3$.

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