What is the LCM of 10 and 350?

What's the Least Common Multiple (LCM) of 10 and 350?

Answer

LCM of 10 and 350 is

350

First common multiples: 350; 700; 1,050; …

As a common denominator: multiply the top and bottom of x/10 by 35.

10 divides 350 (350 ÷ 10 = 35), so the LCM is the larger number itself.

10 = 2 × 5

350 = 2 × 5² × 7

Prime	10	350	Highest power
2	2	2	2
5	5	5²	5²
7	—	7	7

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

LCM = 2 × 5² × 7 = 350

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