Least Common Multiple of 6864, 5940

Q: How to Find the LCM of 6864, 5940 ?

Least Common Multiple of 6864, 5940 = 308880 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(6864, 5940) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 x 13 = 308880.

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 6864, 5940 i.e. 308880 smallest integer divisible by all numbers.

Least common multiple (LCM) of 6864, 5940 is 308880.

LCM(6864, 5940) = 308880

LCM of 6864, 5940

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

Least Common Multiple of 6864, 5940 by common division method
Least Common Multiple of 6864, 5940 with GCF Formula

Least Common Multiple of 6864,5940

Least Common Multiple (LCM) of 6864,5940 is 308880

2	6864, 5940
2	3432, 2970
3	1716, 1485
11	572, 495
	52, 45

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 52 x 45 = 308880

Least Common Multiple of 6864,5940 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 6864,5940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6864,5940) = 132

common factors(in case of two or more numbers have common factors) = 1

GCF(6864,5940) x common factors =132 x 1 = 132

LCM(6864,5940) = ( 6864 × 5940 ) / 132

LCM(6864,5940) = 40772160 / 132

LCM(6864,5940) = 308880

∴ Least Common Multiple of 6864,5940 is 308880

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 6864, 5940

1. What is the LCM of 6864, 5940?

Answer: LCM of 6864, 5940 is 308880.

2. What are the Factors of 308880?

Answer: Factors of 308880 are . There are integers that are factors of 308880

3. How to Find the LCM of 6864, 5940 ?

Least Common Multiple of 6864, 5940.

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(6864, 5940) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 x 13 = 308880.