Least Common Multiple of 71, 51, 36, 204

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 71, 51, 36, 204 i.e. 43452 smallest integer divisible by all numbers.

Least common multiple (LCM) of 71, 51, 36, 204 is 43452.

LCM(71, 51, 36, 204) = 43452

LCM of 71, 51, 36, 204

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

LCM of:

Least Common Multiple of 71,51,36,204

Least Common Multiple (LCM) of 71,51,36,204 is 43452

2 71, 51, 36, 204
2 71, 51, 18, 102
3 71, 51, 9, 51
17 71, 17, 3, 17
71, 1, 3, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 71 x 1 x 3 x 1 = 43452

Least Common Multiple of 71,51,36,204 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 71,51,36,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,51,36,204) = 1

common factors(in case of two or more numbers have common factors) = 612

GCF(71,51,36,204) x common factors =1 x 612 = 612

LCM(71,51,36,204) = ( 71 × 51 × 36 × 204 ) / 612

LCM(71,51,36,204) = 26592624 / 612

LCM(71,51,36,204) = 43452

∴ Least Common Multiple of 71,51,36,204 is 43452

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 71, 51, 36, 204

1. What is the LCM of 71, 51, 36, 204?

Answer: LCM of 71, 51, 36, 204 is 43452.

2. What are the Factors of 43452?

Answer: Factors of 43452 are . There are integers that are factors of 43452

3. How to Find the LCM of 71, 51, 36, 204 ?

Least Common Multiple of 71, 51, 36, 204.

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(71, 51, 36, 204) = 2 x 2 x 3 x 3 x 17 x 71 = 43452.