What is the LCM of 10 and 17?

Answer 1

To find the LCM two or more numbers, one simply lists multiples of the numbers, and picks out the smallest one common to both numbers.

Proceeding in this fashion, we would start 10 with 0 (10 · 0), then 10, 20, 30, 40, etc. We would do the same for 17; thus 0, 17, 34, 51, etc. However, for this problem, we can take a shortcut, since we know that all integer multiples of 10 end in zero, and skip to the first multiple of 17 which ends in a zero; this, of course, is 170. Hence, the LCM of the two numbers is 170 (10 * 17 and 17*10).

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