What is the LCM of 10 and 380?

What's the Least Common Multiple (LCM) of 10 and 380?

Answer

LCM of 10 and 380 is

380

First common multiples: 380; 760; 1,140; …

As a common denominator: multiply the top and bottom of x/10 by 38.

10 divides 380 (380 ÷ 10 = 38), so the LCM is the larger number itself.

10 = 2 × 5

380 = 2² × 5 × 19

Prime	10	380	Highest power
2	2	2²	2²
5	5	5	5
19	—	19	19

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

LCM = 2² × 5 × 19 = 380

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