What is the LCM of 40 and 480?

What's the Least Common Multiple (LCM) of 40 and 480?

Answer

LCM of 40 and 480 is

480

First common multiples: 480; 960; 1,440; …

As a common denominator: multiply the top and bottom of x/40 by 12.

40 divides 480 (480 ÷ 40 = 12), so the LCM is the larger number itself.

40 = 2³ × 5

480 = 2⁵ × 3 × 5

Prime	40	480	Highest power
2	2³	2⁵	2⁵
3	—	3	3
5	5	5	5

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2⁵ × 3 × 5 = 480

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