Least Common Multiple of 208, 285, 720, 972

Q: How to Find the LCM of 208, 285, 720, 972 ?

Least Common Multiple of 208, 285, 720, 972 = 4801680 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(208, 285, 720, 972) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 13 x 19 = 4801680.

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 208, 285, 720, 972 i.e. 4801680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 208, 285, 720, 972 is 4801680.

LCM(208, 285, 720, 972) = 4801680

LCM of 208, 285, 720, 972

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

Least Common Multiple of 208, 285, 720, 972 by common division method
Least Common Multiple of 208, 285, 720, 972 with GCF Formula

Least Common Multiple of 208,285,720,972

Least Common Multiple (LCM) of 208,285,720,972 is 4801680

2	208, 285, 720, 972
2	104, 285, 360, 486
2	52, 285, 180, 243
2	26, 285, 90, 243
3	13, 285, 45, 243
3	13, 95, 15, 81
5	13, 95, 5, 27
	13, 19, 1, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 19 x 1 x 27 = 4801680

Least Common Multiple of 208,285,720,972 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 208,285,720,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,285,720,972) = 1

common factors(in case of two or more numbers have common factors) = 8640

GCF(208,285,720,972) x common factors =1 x 8640 = 8640

LCM(208,285,720,972) = ( 208 × 285 × 720 × 972 ) / 8640

LCM(208,285,720,972) = 41486515200 / 8640

LCM(208,285,720,972) = 4801680

∴ Least Common Multiple of 208,285,720,972 is 4801680

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 208, 285, 720, 972

1. What is the LCM of 208, 285, 720, 972?

Answer: LCM of 208, 285, 720, 972 is 4801680.

2. What are the Factors of 4801680?

Answer: Factors of 4801680 are . There are integers that are factors of 4801680

3. How to Find the LCM of 208, 285, 720, 972 ?

Least Common Multiple of 208, 285, 720, 972.

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(208, 285, 720, 972) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 13 x 19 = 4801680.