The "multiples" that a number, N, are the number N, 2*N, 3*N, ..., etc. Because that example, the multiples that 4 are provided below in the usual order.

You are watching: Least common multiple of 7 and 21

4, 8, 12, 16, 20, ..., and so on.

So by "common multiple" one means a number that is a many of 2 or much more numbers.

Try listing the multiples that 7 and also 21, separately.

You will find many numbers that appear in both lists. These are the common multiples the 7 and also 21.

In fact, you will discover that every multiple of 21 is likewise a multiple of 7. Perform you see why?

Hope this helps. If not, ns or another tutor will be glad to further assist you.

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LCM(7, 21) = 21, since 21 is a many of 7.

So, the three common multiples have the right to be 1*21, 2*21 and also 3*21.

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