Least Common Multiple of 234, 5976

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 234, 5976 i.e. 77688 smallest integer divisible by all numbers.

Least common multiple (LCM) of 234, 5976 is 77688.

LCM(234, 5976) = 77688

LCM of 234, 5976

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

LCM of:

Least Common Multiple of 234,5976

Least Common Multiple (LCM) of 234,5976 is 77688

2 234, 5976
3 117, 2988
3 39, 996
13, 332

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 332 = 77688

Least Common Multiple of 234,5976 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 234,5976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,5976) = 18

common factors(in case of two or more numbers have common factors) = 1

GCF(234,5976) x common factors =18 x 1 = 18

LCM(234,5976) = ( 234 × 5976 ) / 18

LCM(234,5976) = 1398384 / 18

LCM(234,5976) = 77688

∴ Least Common Multiple of 234,5976 is 77688

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 234, 5976

1. What is the LCM of 234, 5976?

Answer: LCM of 234, 5976 is 77688.

2. What are the Factors of 77688?

Answer: Factors of 77688 are . There are integers that are factors of 77688

3. How to Find the LCM of 234, 5976 ?

Least Common Multiple of 234, 5976.

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(234, 5976) = 2 x 2 x 2 x 3 x 3 x 13 x 83 = 77688.