Least Common Multiple of 27, 408, 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 27, 408, 204 i.e. 3672 smallest integer divisible by all numbers.

Least common multiple (LCM) of 27, 408, 204 is 3672.

LCM(27, 408, 204) = 3672

LCM of 27, 408, 204

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

LCM of:

Least Common Multiple of 27,408,204

Least Common Multiple (LCM) of 27,408,204 is 3672

2 27, 408, 204
2 27, 204, 102
3 27, 51, 102
17 9, 17, 34
9, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 9 x 1 x 2 = 3672

Least Common Multiple of 27,408,204 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 27,408,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,408,204) = 3

common factors(in case of two or more numbers have common factors) = 204

GCF(27,408,204) x common factors =3 x 204 = 612

LCM(27,408,204) = ( 27 × 408 × 204 ) / 612

LCM(27,408,204) = 2247264 / 612

LCM(27,408,204) = 3672

∴ Least Common Multiple of 27,408,204 is 3672

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 27, 408, 204

1. What is the LCM of 27, 408, 204?

Answer: LCM of 27, 408, 204 is 3672.

2. What are the Factors of 3672?

Answer: Factors of 3672 are . There are integers that are factors of 3672

3. How to Find the LCM of 27, 408, 204 ?

Least Common Multiple of 27, 408, 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(27, 408, 204) = 2 x 2 x 2 x 3 x 3 x 3 x 17 = 3672.