Asked by Kelley

What is the smallest number that is divisible by the numbers 315, 455, and 875. Can you show me how to get this answer?

Answers

Answered by Steve
315 = 3^2 * 5 * 7
455 = 5 * 7 * 13
875 = 5^3 * 7

So, any number divisible by all three of these values must contain all of the factors in any of them. That means that

LCM(315,455,875) = 3^2 * 5^3 * 7 * 13 = 102375
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