Least Common Multiple of 342, 5643

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 342, 5643 i.e. 11286 smallest integer divisible by all numbers.

Least common multiple (LCM) of 342, 5643 is 11286.

LCM(342, 5643) = 11286

LCM of 342, 5643

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

LCM of:

Least Common Multiple of 342,5643

Least Common Multiple (LCM) of 342,5643 is 11286

3 342, 5643
3 114, 1881
19 38, 627
2, 33

∴ So the LCM of the given numbers is 3 x 3 x 19 x 2 x 33 = 11286

Least Common Multiple of 342,5643 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 342,5643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,5643) = 171

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

GCF(342,5643) x common factors =171 x 1 = 171

LCM(342,5643) = ( 342 × 5643 ) / 171

LCM(342,5643) = 1929906 / 171

LCM(342,5643) = 11286

∴ Least Common Multiple of 342,5643 is 11286

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 342, 5643

1. What is the LCM of 342, 5643?

Answer: LCM of 342, 5643 is 11286.

2. What are the Factors of 11286?

Answer: Factors of 11286 are . There are integers that are factors of 11286

3. How to Find the LCM of 342, 5643 ?

Least Common Multiple of 342, 5643.

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(342, 5643) = 2 x 3 x 3 x 3 x 11 x 19 = 11286.