Least Common Multiple of 480, 387, 540

Q: How to Find the LCM of 480, 387, 540 ?

Least Common Multiple of 480, 387, 540 = 185760 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(480, 387, 540) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 43 = 185760.

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 480, 387, 540 i.e. 185760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 480, 387, 540 is 185760.

LCM(480, 387, 540) = 185760

LCM of 480, 387, 540

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

Least Common Multiple of 480, 387, 540 by common division method
Least Common Multiple of 480, 387, 540 with GCF Formula

Least Common Multiple of 480,387,540

Least Common Multiple (LCM) of 480,387,540 is 185760

2	480, 387, 540
2	240, 387, 270
3	120, 387, 135
3	40, 129, 45
5	40, 43, 15
	8, 43, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 8 x 43 x 3 = 185760

Least Common Multiple of 480,387,540 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 480,387,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,387,540) = 3

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

GCF(480,387,540) x common factors =3 x 180 = 540

LCM(480,387,540) = ( 480 × 387 × 540 ) / 540

LCM(480,387,540) = 100310400 / 540

LCM(480,387,540) = 185760

∴ Least Common Multiple of 480,387,540 is 185760

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 480, 387, 540

1. What is the LCM of 480, 387, 540?

Answer: LCM of 480, 387, 540 is 185760.

2. What are the Factors of 185760?

Answer: Factors of 185760 are . There are integers that are factors of 185760

3. How to Find the LCM of 480, 387, 540 ?

Least Common Multiple of 480, 387, 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(480, 387, 540) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 43 = 185760.