Least Common Multiple of 585, 708, 767

Q: How to Find the LCM of 585, 708, 767 ?

Least Common Multiple of 585, 708, 767 = 138060 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, 708, 767) = 2 x 2 x 3 x 3 x 5 x 13 x 59 = 138060.

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, 708, 767 i.e. 138060 smallest integer divisible by all numbers.

Least common multiple (LCM) of 585, 708, 767 is 138060.

LCM(585, 708, 767) = 138060

LCM of 585, 708, 767

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

Least Common Multiple of 585, 708, 767 by common division method
Least Common Multiple of 585, 708, 767 with GCF Formula

Least Common Multiple of 585,708,767

Least Common Multiple (LCM) of 585,708,767 is 138060

3	585, 708, 767
13	195, 236, 767
59	15, 236, 59
	15, 4, 1

∴ So the LCM of the given numbers is 3 x 13 x 59 x 15 x 4 x 1 = 138060

Least Common Multiple of 585,708,767 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 585,708,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,708,767) = 1

common factors(in case of two or more numbers have common factors) = 2301

GCF(585,708,767) x common factors =1 x 2301 = 2301

LCM(585,708,767) = ( 585 × 708 × 767 ) / 2301

LCM(585,708,767) = 317676060 / 2301

LCM(585,708,767) = 138060

∴ Least Common Multiple of 585,708,767 is 138060

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, 708, 767

1. What is the LCM of 585, 708, 767?

Answer: LCM of 585, 708, 767 is 138060.

2. What are the Factors of 138060?

Answer: Factors of 138060 are . There are integers that are factors of 138060

3. How to Find the LCM of 585, 708, 767 ?

Least Common Multiple of 585, 708, 767.

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, 708, 767) = 2 x 2 x 3 x 3 x 5 x 13 x 59 = 138060.