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

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Nov 23, 2016

Answer:

#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 * 2#, so 42 is also a multiple of #3#.

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