Least Common Multiple of 54, 52, 309

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, 52, 309 i.e. 144612 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 52, 309 is 144612.

LCM(54, 52, 309) = 144612

LCM of 54, 52, 309

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

LCM of:

Least Common Multiple of 54,52,309

Least Common Multiple (LCM) of 54,52,309 is 144612

2 54, 52, 309
3 27, 26, 309
9, 26, 103

∴ So the LCM of the given numbers is 2 x 3 x 9 x 26 x 103 = 144612

Least Common Multiple of 54,52,309 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 54,52,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,52,309) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(54,52,309) x common factors =1 x 6 = 6

LCM(54,52,309) = ( 54 × 52 × 309 ) / 6

LCM(54,52,309) = 867672 / 6

LCM(54,52,309) = 144612

∴ Least Common Multiple of 54,52,309 is 144612

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 54, 52, 309

1. What is the LCM of 54, 52, 309?

Answer: LCM of 54, 52, 309 is 144612.

2. What are the Factors of 144612?

Answer: Factors of 144612 are . There are integers that are factors of 144612

3. How to Find the LCM of 54, 52, 309 ?

Least Common Multiple of 54, 52, 309.

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, 52, 309) = 2 x 2 x 3 x 3 x 3 x 13 x 103 = 144612.