Least Common Multiple of 54, 21, 267

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, 21, 267 i.e. 33642 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 21, 267 is 33642.

LCM(54, 21, 267) = 33642

LCM of 54, 21, 267

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

LCM of:

Least Common Multiple of 54,21,267

Least Common Multiple (LCM) of 54,21,267 is 33642

3 54, 21, 267
18, 7, 89

∴ So the LCM of the given numbers is 3 x 18 x 7 x 89 = 33642

Least Common Multiple of 54,21,267 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 54,21,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,21,267) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(54,21,267) x common factors =3 x 3 = 9

LCM(54,21,267) = ( 54 × 21 × 267 ) / 9

LCM(54,21,267) = 302778 / 9

LCM(54,21,267) = 33642

∴ Least Common Multiple of 54,21,267 is 33642

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 54, 21, 267

1. What is the LCM of 54, 21, 267?

Answer: LCM of 54, 21, 267 is 33642.

2. What are the Factors of 33642?

Answer: Factors of 33642 are . There are integers that are factors of 33642

3. How to Find the LCM of 54, 21, 267 ?

Least Common Multiple of 54, 21, 267.

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, 21, 267) = 2 x 3 x 3 x 3 x 7 x 89 = 33642.