# math

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

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1. 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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