Least Common Multiple of 204, 304, 544

Q: How to Find the LCM of 204, 304, 544 ?

Least Common Multiple of 204, 304, 544 = 31008 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(204, 304, 544) = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 19 = 31008.

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 204, 304, 544 i.e. 31008 smallest integer divisible by all numbers.

Least common multiple (LCM) of 204, 304, 544 is 31008.

LCM(204, 304, 544) = 31008

LCM of 204, 304, 544

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

Least Common Multiple of 204, 304, 544 by common division method
Least Common Multiple of 204, 304, 544 with GCF Formula

Least Common Multiple of 204,304,544

Least Common Multiple (LCM) of 204,304,544 is 31008

2	204, 304, 544
2	102, 152, 272
2	51, 76, 136
2	51, 38, 68
17	51, 19, 34
	3, 19, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 17 x 3 x 19 x 2 = 31008

Least Common Multiple of 204,304,544 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 204,304,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,304,544) = 4

common factors(in case of two or more numbers have common factors) = 272

GCF(204,304,544) x common factors =4 x 272 = 1088

LCM(204,304,544) = ( 204 × 304 × 544 ) / 1088

LCM(204,304,544) = 33736704 / 1088

LCM(204,304,544) = 31008

∴ Least Common Multiple of 204,304,544 is 31008

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 204, 304, 544

1. What is the LCM of 204, 304, 544?

Answer: LCM of 204, 304, 544 is 31008.

2. What are the Factors of 31008?

Answer: Factors of 31008 are . There are integers that are factors of 31008

3. How to Find the LCM of 204, 304, 544 ?

Least Common Multiple of 204, 304, 544.

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(204, 304, 544) = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 19 = 31008.