Least Common Multiple of 54, 57, 646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 54, 57, 646 i.e. 17442 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 57, 646 is 17442.

LCM(54, 57, 646) = 17442

LCM of 54, 57, 646

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 54,57,646

Least Common Multiple (LCM) of 54,57,646 is 17442

2 54, 57, 646
3 27, 57, 323
19 9, 19, 323
9, 1, 17

∴ So the LCM of the given numbers is 2 x 3 x 19 x 9 x 1 x 17 = 17442

Least Common Multiple of 54,57,646 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 54,57,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,57,646) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(54,57,646) x common factors =1 x 114 = 114

LCM(54,57,646) = ( 54 × 57 × 646 ) / 114

LCM(54,57,646) = 1988388 / 114

LCM(54,57,646) = 17442

∴ Least Common Multiple of 54,57,646 is 17442

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 54, 57, 646

1. What is the LCM of 54, 57, 646?

Answer: LCM of 54, 57, 646 is 17442.

2. What are the Factors of 17442?

Answer: Factors of 17442 are . There are integers that are factors of 17442

3. How to Find the LCM of 54, 57, 646 ?

Least Common Multiple of 54, 57, 646.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(54, 57, 646) = 2 x 3 x 3 x 3 x 17 x 19 = 17442.