Least Common Multiple of 600, 180, 264

Q: How to Find the LCM of 600, 180, 264 ?

Least Common Multiple of 600, 180, 264 = 19800 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(600, 180, 264) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 = 19800.

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 600, 180, 264 i.e. 19800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 600, 180, 264 is 19800.

LCM(600, 180, 264) = 19800

LCM of 600, 180, 264

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

Least Common Multiple of 600, 180, 264 by common division method
Least Common Multiple of 600, 180, 264 with GCF Formula

Least Common Multiple of 600,180,264

Least Common Multiple (LCM) of 600,180,264 is 19800

2	600, 180, 264
2	300, 90, 132
2	150, 45, 66
3	75, 45, 33
5	25, 15, 11
	5, 3, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 5 x 3 x 11 = 19800

Least Common Multiple of 600,180,264 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 600,180,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,180,264) = 12

common factors(in case of two or more numbers have common factors) = 120

GCF(600,180,264) x common factors =12 x 120 = 1440

LCM(600,180,264) = ( 600 × 180 × 264 ) / 1440

LCM(600,180,264) = 28512000 / 1440

LCM(600,180,264) = 19800

∴ Least Common Multiple of 600,180,264 is 19800

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 600, 180, 264

1. What is the LCM of 600, 180, 264?

Answer: LCM of 600, 180, 264 is 19800.

2. What are the Factors of 19800?

Answer: Factors of 19800 are . There are integers that are factors of 19800

3. How to Find the LCM of 600, 180, 264 ?

Least Common Multiple of 600, 180, 264.

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(600, 180, 264) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 = 19800.