Least Common Multiple of 54, 18, 438

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, 18, 438 i.e. 3942 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 18, 438 is 3942.

LCM(54, 18, 438) = 3942

LCM of 54, 18, 438

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

LCM of:

Least Common Multiple of 54,18,438

Least Common Multiple (LCM) of 54,18,438 is 3942

2 54, 18, 438
3 27, 9, 219
3 3, 9, 73
1, 3, 73

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 3 x 73 = 3942

Least Common Multiple of 54,18,438 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 54,18,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,18,438) = 6

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

GCF(54,18,438) x common factors =6 x 18 = 108

LCM(54,18,438) = ( 54 × 18 × 438 ) / 108

LCM(54,18,438) = 425736 / 108

LCM(54,18,438) = 3942

∴ Least Common Multiple of 54,18,438 is 3942

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 54, 18, 438

1. What is the LCM of 54, 18, 438?

Answer: LCM of 54, 18, 438 is 3942.

2. What are the Factors of 3942?

Answer: Factors of 3942 are . There are integers that are factors of 3942

3. How to Find the LCM of 54, 18, 438 ?

Least Common Multiple of 54, 18, 438.

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, 18, 438) = 2 x 3 x 3 x 3 x 73 = 3942.