What is the LCM of 60 and 240?

What's the Least Common Multiple (LCM) of 60 and 240?

Answer

LCM of 60 and 240 is

240

First common multiples: 240, 480, 720, …

As a common denominator: multiply the top and bottom of x/60 by 4.

60 divides 240 (240 ÷ 60 = 4), so the LCM is the larger number itself.

60 = 2² × 3 × 5

240 = 2⁴ × 3 × 5

Prime	60	240	Highest power
2	2²	2⁴	2⁴
3	3	3	3
5	5	5	5

LCM = 2⁴ × 3 × 5 = 240

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