Least Common Multiple of 54, 66, 639

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, 66, 639 i.e. 42174 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 66, 639 is 42174.

LCM(54, 66, 639) = 42174

LCM of 54, 66, 639

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

LCM of:

Least Common Multiple of 54,66,639

Least Common Multiple (LCM) of 54,66,639 is 42174

2 54, 66, 639
3 27, 33, 639
3 9, 11, 213
3, 11, 71

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 11 x 71 = 42174

Least Common Multiple of 54,66,639 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 54,66,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,66,639) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(54,66,639) x common factors =3 x 18 = 54

LCM(54,66,639) = ( 54 × 66 × 639 ) / 54

LCM(54,66,639) = 2277396 / 54

LCM(54,66,639) = 42174

∴ Least Common Multiple of 54,66,639 is 42174

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 54, 66, 639

1. What is the LCM of 54, 66, 639?

Answer: LCM of 54, 66, 639 is 42174.

2. What are the Factors of 42174?

Answer: Factors of 42174 are . There are integers that are factors of 42174

3. How to Find the LCM of 54, 66, 639 ?

Least Common Multiple of 54, 66, 639.

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, 66, 639) = 2 x 3 x 3 x 3 x 11 x 71 = 42174.