What is the LCM of 3 and 45?

What's the Least Common Multiple (LCM) of 3 and 45?

Answer

LCM of 3 and 45 is

45

First common multiples: 45, 90, 135, …

As a common denominator: multiply the top and bottom of x/3 by 15.

3 divides 45 (45 ÷ 3 = 15), so the LCM is the larger number itself.

3 — prime

45 = 3² × 5

Prime	3	45	Highest power
3	3	3²	3²
5	—	5	5

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

LCM = 3² × 5 = 45

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Multiples of a Number - List the first 10 multiples of any number from 1 to 999

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