What is the LCM of 3 and 57?

What's the Least Common Multiple (LCM) of 3 and 57?

Answer

LCM of 3 and 57 is

57

First common multiples: 57, 114, 171, …

As a common denominator: multiply the top and bottom of x/3 by 19.

3 divides 57 (57 ÷ 3 = 19), so the LCM is the larger number itself.

3 — prime

57 = 3 × 19

Prime	3	57	Highest power
3	3	3	3
19	—	19	19

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

LCM = 3 × 19 = 57

Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Multiples of a Number - List the first 10 multiples of any number from 1 to 999

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