Least Common Multiple of 561, 705, 705

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 561, 705, 705 i.e. 131835 smallest integer divisible by all numbers.

Least common multiple (LCM) of 561, 705, 705 is 131835.

LCM(561, 705, 705) = 131835

LCM of 561, 705, 705

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

LCM of:

Least Common Multiple of 561,705,705

Least Common Multiple (LCM) of 561,705,705 is 131835

3 561, 705, 705
5 187, 235, 235
47 187, 47, 47
187, 1, 1

∴ So the LCM of the given numbers is 3 x 5 x 47 x 187 x 1 x 1 = 131835

Least Common Multiple of 561,705,705 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 561,705,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,705,705) = 3

common factors(in case of two or more numbers have common factors) = 705

GCF(561,705,705) x common factors =3 x 705 = 2115

LCM(561,705,705) = ( 561 × 705 × 705 ) / 2115

LCM(561,705,705) = 278831025 / 2115

LCM(561,705,705) = 131835

∴ Least Common Multiple of 561,705,705 is 131835

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 561, 705, 705

1. What is the LCM of 561, 705, 705?

Answer: LCM of 561, 705, 705 is 131835.

2. What are the Factors of 131835?

Answer: Factors of 131835 are . There are integers that are factors of 131835

3. How to Find the LCM of 561, 705, 705 ?

Least Common Multiple of 561, 705, 705.

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(561, 705, 705) = 3 x 5 x 11 x 17 x 47 = 131835.