Least Common Multiple of 561, 588, 561

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, 588, 561 i.e. 109956 smallest integer divisible by all numbers.

Least common multiple (LCM) of 561, 588, 561 is 109956.

LCM(561, 588, 561) = 109956

LCM of 561, 588, 561

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

LCM of:

Least Common Multiple of 561,588,561

Least Common Multiple (LCM) of 561,588,561 is 109956

3 561, 588, 561
11 187, 196, 187
17 17, 196, 17
1, 196, 1

∴ So the LCM of the given numbers is 3 x 11 x 17 x 1 x 196 x 1 = 109956

Least Common Multiple of 561,588,561 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 561,588,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,588,561) = 3

common factors(in case of two or more numbers have common factors) = 561

GCF(561,588,561) x common factors =3 x 561 = 1683

LCM(561,588,561) = ( 561 × 588 × 561 ) / 1683

LCM(561,588,561) = 185055948 / 1683

LCM(561,588,561) = 109956

∴ Least Common Multiple of 561,588,561 is 109956

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, 588, 561

1. What is the LCM of 561, 588, 561?

Answer: LCM of 561, 588, 561 is 109956.

2. What are the Factors of 109956?

Answer: Factors of 109956 are . There are integers that are factors of 109956

3. How to Find the LCM of 561, 588, 561 ?

Least Common Multiple of 561, 588, 561.

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, 588, 561) = 2 x 2 x 3 x 7 x 7 x 11 x 17 = 109956.