Least Common Multiple of 324, 576, 567

Q: How to Find the LCM of 324, 576, 567 ?

Least Common Multiple of 324, 576, 567 = 36288 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(324, 576, 567) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 = 36288.

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 324, 576, 567 i.e. 36288 smallest integer divisible by all numbers.

Least common multiple (LCM) of 324, 576, 567 is 36288.

LCM(324, 576, 567) = 36288

LCM of 324, 576, 567

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

Least Common Multiple of 324, 576, 567 by common division method
Least Common Multiple of 324, 576, 567 with GCF Formula

Least Common Multiple of 324,576,567

Least Common Multiple (LCM) of 324,576,567 is 36288

2	324, 576, 567
2	162, 288, 567
3	81, 144, 567
3	27, 48, 189
3	9, 16, 63
3	3, 16, 21
	1, 16, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 3 x 1 x 16 x 7 = 36288

Least Common Multiple of 324,576,567 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 324,576,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,576,567) = 9

common factors(in case of two or more numbers have common factors) = 324

GCF(324,576,567) x common factors =9 x 324 = 2916

LCM(324,576,567) = ( 324 × 576 × 567 ) / 2916

LCM(324,576,567) = 105815808 / 2916

LCM(324,576,567) = 36288

∴ Least Common Multiple of 324,576,567 is 36288

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 324, 576, 567

1. What is the LCM of 324, 576, 567?

Answer: LCM of 324, 576, 567 is 36288.

2. What are the Factors of 36288?

Answer: Factors of 36288 are . There are integers that are factors of 36288

3. How to Find the LCM of 324, 576, 567 ?

Least Common Multiple of 324, 576, 567.

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(324, 576, 567) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 = 36288.