Least Common Multiple of 675, 243, 540

Q: How to Find the LCM of 675, 243, 540 ?

Least Common Multiple of 675, 243, 540 = 24300 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(675, 243, 540) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 = 24300.

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 675, 243, 540 i.e. 24300 smallest integer divisible by all numbers.

Least common multiple (LCM) of 675, 243, 540 is 24300.

LCM(675, 243, 540) = 24300

LCM of 675, 243, 540

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

Least Common Multiple of 675, 243, 540 by common division method
Least Common Multiple of 675, 243, 540 with GCF Formula

Least Common Multiple of 675,243,540

Least Common Multiple (LCM) of 675,243,540 is 24300

3	675, 243, 540
3	225, 81, 180
3	75, 27, 60
5	25, 9, 20
	5, 9, 4

∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 5 x 9 x 4 = 24300

Least Common Multiple of 675,243,540 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 675,243,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,243,540) = 27

common factors(in case of two or more numbers have common factors) = 135

GCF(675,243,540) x common factors =27 x 135 = 3645

LCM(675,243,540) = ( 675 × 243 × 540 ) / 3645

LCM(675,243,540) = 88573500 / 3645

LCM(675,243,540) = 24300

∴ Least Common Multiple of 675,243,540 is 24300

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 675, 243, 540

1. What is the LCM of 675, 243, 540?

Answer: LCM of 675, 243, 540 is 24300.

2. What are the Factors of 24300?

Answer: Factors of 24300 are . There are integers that are factors of 24300

3. How to Find the LCM of 675, 243, 540 ?

Least Common Multiple of 675, 243, 540.

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(675, 243, 540) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 = 24300.