Least Common Multiple of 387, 540, 40

Q: How to Find the LCM of 387, 540, 40 ?

Least Common Multiple of 387, 540, 40 = 46440 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(387, 540, 40) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 43 = 46440.

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 387, 540, 40 i.e. 46440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 387, 540, 40 is 46440.

LCM(387, 540, 40) = 46440

LCM of 387, 540, 40

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

Least Common Multiple of 387, 540, 40 by common division method
Least Common Multiple of 387, 540, 40 with GCF Formula

Least Common Multiple of 387,540,40

Least Common Multiple (LCM) of 387,540,40 is 46440

2	387, 540, 40
2	387, 270, 20
3	387, 135, 10
3	129, 45, 10
5	43, 15, 10
	43, 3, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 43 x 3 x 2 = 46440

Least Common Multiple of 387,540,40 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 387,540,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,540,40) = 1

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

GCF(387,540,40) x common factors =1 x 180 = 180

LCM(387,540,40) = ( 387 × 540 × 40 ) / 180

LCM(387,540,40) = 8359200 / 180

LCM(387,540,40) = 46440

∴ Least Common Multiple of 387,540,40 is 46440

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 387, 540, 40

1. What is the LCM of 387, 540, 40?

Answer: LCM of 387, 540, 40 is 46440.

2. What are the Factors of 46440?

Answer: Factors of 46440 are . There are integers that are factors of 46440

3. How to Find the LCM of 387, 540, 40 ?

Least Common Multiple of 387, 540, 40.

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(387, 540, 40) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 43 = 46440.