Least Common Multiple of 216, 900, 585

Q: How to Find the LCM of 216, 900, 585 ?

Least Common Multiple of 216, 900, 585 = 70200 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(216, 900, 585) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 13 = 70200.

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 216, 900, 585 i.e. 70200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 216, 900, 585 is 70200.

LCM(216, 900, 585) = 70200

LCM of 216, 900, 585

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

Least Common Multiple of 216, 900, 585 by common division method
Least Common Multiple of 216, 900, 585 with GCF Formula

Least Common Multiple of 216,900,585

Least Common Multiple (LCM) of 216,900,585 is 70200

2	216, 900, 585
2	108, 450, 585
3	54, 225, 585
3	18, 75, 195
5	6, 25, 65
	6, 5, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 6 x 5 x 13 = 70200

Least Common Multiple of 216,900,585 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 216,900,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,900,585) = 9

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

GCF(216,900,585) x common factors =9 x 180 = 1620

LCM(216,900,585) = ( 216 × 900 × 585 ) / 1620

LCM(216,900,585) = 113724000 / 1620

LCM(216,900,585) = 70200

∴ Least Common Multiple of 216,900,585 is 70200

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 216, 900, 585

1. What is the LCM of 216, 900, 585?

Answer: LCM of 216, 900, 585 is 70200.

2. What are the Factors of 70200?

Answer: Factors of 70200 are . There are integers that are factors of 70200

3. How to Find the LCM of 216, 900, 585 ?

Least Common Multiple of 216, 900, 585.

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(216, 900, 585) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 13 = 70200.