Least Common Multiple of 54, 387, 219

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, 387, 219 i.e. 169506 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 387, 219 is 169506.

LCM(54, 387, 219) = 169506

LCM of 54, 387, 219

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

LCM of:

Least Common Multiple of 54,387,219

Least Common Multiple (LCM) of 54,387,219 is 169506

3 54, 387, 219
3 18, 129, 73
6, 43, 73

∴ So the LCM of the given numbers is 3 x 3 x 6 x 43 x 73 = 169506

Least Common Multiple of 54,387,219 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 54,387,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,387,219) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(54,387,219) x common factors =3 x 9 = 27

LCM(54,387,219) = ( 54 × 387 × 219 ) / 27

LCM(54,387,219) = 4576662 / 27

LCM(54,387,219) = 169506

∴ Least Common Multiple of 54,387,219 is 169506

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 54, 387, 219

1. What is the LCM of 54, 387, 219?

Answer: LCM of 54, 387, 219 is 169506.

2. What are the Factors of 169506?

Answer: Factors of 169506 are . There are integers that are factors of 169506

3. How to Find the LCM of 54, 387, 219 ?

Least Common Multiple of 54, 387, 219.

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, 387, 219) = 2 x 3 x 3 x 3 x 43 x 73 = 169506.