What is the LCM of 30 and 450?

What's the Least Common Multiple (LCM) of 30 and 450?

Answer

LCM of 30 and 450 is

450

First common multiples: 450; 900; 1,350; …

As a common denominator: multiply the top and bottom of x/30 by 15.

30 divides 450 (450 ÷ 30 = 15), so the LCM is the larger number itself.

30 = 2 × 3 × 5

450 = 2 × 3² × 5²

Prime	30	450	Highest power
2	2	2	2
3	3	3²	3²
5	5	5²	5²

LCM = 2 × 3² × 5² = 450

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