Least Common Multiple of 585, 312, 189

Q: How to Find the LCM of 585, 312, 189 ?

Least Common Multiple of 585, 312, 189 = 98280 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(585, 312, 189) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 13 = 98280.

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 585, 312, 189 i.e. 98280 smallest integer divisible by all numbers.

Least common multiple (LCM) of 585, 312, 189 is 98280.

LCM(585, 312, 189) = 98280

LCM of 585, 312, 189

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

Least Common Multiple of 585, 312, 189 by common division method
Least Common Multiple of 585, 312, 189 with GCF Formula

Least Common Multiple of 585,312,189

Least Common Multiple (LCM) of 585,312,189 is 98280

3	585, 312, 189
3	195, 104, 63
13	65, 104, 21
	5, 8, 21

∴ So the LCM of the given numbers is 3 x 3 x 13 x 5 x 8 x 21 = 98280

Least Common Multiple of 585,312,189 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 585,312,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,312,189) = 3

common factors(in case of two or more numbers have common factors) = 117

GCF(585,312,189) x common factors =3 x 117 = 351

LCM(585,312,189) = ( 585 × 312 × 189 ) / 351

LCM(585,312,189) = 34496280 / 351

LCM(585,312,189) = 98280

∴ Least Common Multiple of 585,312,189 is 98280

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 585, 312, 189

1. What is the LCM of 585, 312, 189?

Answer: LCM of 585, 312, 189 is 98280.

2. What are the Factors of 98280?

Answer: Factors of 98280 are . There are integers that are factors of 98280

3. How to Find the LCM of 585, 312, 189 ?

Least Common Multiple of 585, 312, 189.

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(585, 312, 189) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 13 = 98280.