What is the LCM of 50 and 200?

What's the Least Common Multiple (LCM) of 50 and 200?

Answer

LCM of 50 and 200 is

200

First common multiples: 200, 400, 600, …

As a common denominator: multiply the top and bottom of x/50 by 4.

50 divides 200 (200 ÷ 50 = 4), so the LCM is the larger number itself.

50 = 2 × 5²

200 = 2³ × 5²

Prime	50	200	Highest power
2	2	2³	2³
5	5²	5²	5²

LCM = 2³ × 5² = 200

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