Least Common Multiple of 540, 468, 215

Q: How to Find the LCM of 540, 468, 215 ?

Least Common Multiple of 540, 468, 215 = 301860 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(540, 468, 215) = 2 x 2 x 3 x 3 x 3 x 5 x 13 x 43 = 301860.

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 540, 468, 215 i.e. 301860 smallest integer divisible by all numbers.

Least common multiple (LCM) of 540, 468, 215 is 301860.

LCM(540, 468, 215) = 301860

LCM of 540, 468, 215

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

Least Common Multiple of 540, 468, 215 by common division method
Least Common Multiple of 540, 468, 215 with GCF Formula

Least Common Multiple of 540,468,215

Least Common Multiple (LCM) of 540,468,215 is 301860

2	540, 468, 215
2	270, 234, 215
3	135, 117, 215
3	45, 39, 215
5	15, 13, 215
	3, 13, 43

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 3 x 13 x 43 = 301860

Least Common Multiple of 540,468,215 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 540,468,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,468,215) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(540,468,215) x common factors =1 x 180 = 180

LCM(540,468,215) = ( 540 × 468 × 215 ) / 180

LCM(540,468,215) = 54334800 / 180

LCM(540,468,215) = 301860

∴ Least Common Multiple of 540,468,215 is 301860

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 540, 468, 215

1. What is the LCM of 540, 468, 215?

Answer: LCM of 540, 468, 215 is 301860.

2. What are the Factors of 301860?

Answer: Factors of 301860 are . There are integers that are factors of 301860

3. How to Find the LCM of 540, 468, 215 ?

Least Common Multiple of 540, 468, 215.

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(540, 468, 215) = 2 x 2 x 3 x 3 x 3 x 5 x 13 x 43 = 301860.