What is the LCM of 30 and 270?

What's the Least Common Multiple (LCM) of 30 and 270?

Answer

LCM of 30 and 270 is

270

First common multiples: 270, 540, 810, …

As a common denominator: multiply the top and bottom of x/30 by 9.

30 divides 270 (270 ÷ 30 = 9), so the LCM is the larger number itself.

30 = 2 × 3 × 5

270 = 2 × 3³ × 5

Prime	30	270	Highest power
2	2	2	2
3	3	3³	3³
5	5	5	5

LCM = 2 × 3³ × 5 = 270

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