Least Common Multiple of 875, 540, 720

Q: How to Find the LCM of 875, 540, 720 ?

Least Common Multiple of 875, 540, 720 = 378000 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(875, 540, 720) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 x 7 = 378000.

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 875, 540, 720 i.e. 378000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 875, 540, 720 is 378000.

LCM(875, 540, 720) = 378000

LCM of 875, 540, 720

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

Least Common Multiple of 875, 540, 720 by common division method
Least Common Multiple of 875, 540, 720 with GCF Formula

Least Common Multiple of 875,540,720

Least Common Multiple (LCM) of 875,540,720 is 378000

2	875, 540, 720
2	875, 270, 360
3	875, 135, 180
3	875, 45, 60
5	875, 15, 20
	175, 3, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 175 x 3 x 4 = 378000

Least Common Multiple of 875,540,720 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 875,540,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(875,540,720) = 5

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

GCF(875,540,720) x common factors =5 x 180 = 900

LCM(875,540,720) = ( 875 × 540 × 720 ) / 900

LCM(875,540,720) = 340200000 / 900

LCM(875,540,720) = 378000

∴ Least Common Multiple of 875,540,720 is 378000

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 875, 540, 720

1. What is the LCM of 875, 540, 720?

Answer: LCM of 875, 540, 720 is 378000.

2. What are the Factors of 378000?

Answer: Factors of 378000 are . There are integers that are factors of 378000

3. How to Find the LCM of 875, 540, 720 ?

Least Common Multiple of 875, 540, 720.

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(875, 540, 720) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 x 7 = 378000.