Least Common Multiple of 123, 588, 369

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 123, 588, 369 i.e. 72324 smallest integer divisible by all numbers.

Least common multiple (LCM) of 123, 588, 369 is 72324.

LCM(123, 588, 369) = 72324

LCM of 123, 588, 369

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

LCM of:

Least Common Multiple of 123,588,369

Least Common Multiple (LCM) of 123,588,369 is 72324

3 123, 588, 369
41 41, 196, 123
1, 196, 3

∴ So the LCM of the given numbers is 3 x 41 x 1 x 196 x 3 = 72324

Least Common Multiple of 123,588,369 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 123,588,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,588,369) = 3

common factors(in case of two or more numbers have common factors) = 123

GCF(123,588,369) x common factors =3 x 123 = 369

LCM(123,588,369) = ( 123 × 588 × 369 ) / 369

LCM(123,588,369) = 26687556 / 369

LCM(123,588,369) = 72324

∴ Least Common Multiple of 123,588,369 is 72324

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 123, 588, 369

1. What is the LCM of 123, 588, 369?

Answer: LCM of 123, 588, 369 is 72324.

2. What are the Factors of 72324?

Answer: Factors of 72324 are . There are integers that are factors of 72324

3. How to Find the LCM of 123, 588, 369 ?

Least Common Multiple of 123, 588, 369.

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(123, 588, 369) = 2 x 2 x 3 x 3 x 7 x 7 x 41 = 72324.