Least Common Multiple of 99, 684, 108

Q: How to Find the LCM of 99, 684, 108 ?

Least Common Multiple of 99, 684, 108 = 22572 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(99, 684, 108) = 2 x 2 x 3 x 3 x 3 x 11 x 19 = 22572.

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 99, 684, 108 i.e. 22572 smallest integer divisible by all numbers.

Least common multiple (LCM) of 99, 684, 108 is 22572.

LCM(99, 684, 108) = 22572

LCM of 99, 684, 108

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

Least Common Multiple of 99, 684, 108 by common division method
Least Common Multiple of 99, 684, 108 with GCF Formula

Least Common Multiple of 99,684,108

Least Common Multiple (LCM) of 99,684,108 is 22572

2	99, 684, 108
2	99, 342, 54
3	99, 171, 27
3	33, 57, 9
	11, 19, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 11 x 19 x 3 = 22572

Least Common Multiple of 99,684,108 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 99,684,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,684,108) = 9

common factors(in case of two or more numbers have common factors) = 36

GCF(99,684,108) x common factors =9 x 36 = 324

LCM(99,684,108) = ( 99 × 684 × 108 ) / 324

LCM(99,684,108) = 7313328 / 324

LCM(99,684,108) = 22572

∴ Least Common Multiple of 99,684,108 is 22572

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 99, 684, 108

1. What is the LCM of 99, 684, 108?

Answer: LCM of 99, 684, 108 is 22572.

2. What are the Factors of 22572?

Answer: Factors of 22572 are . There are integers that are factors of 22572

3. How to Find the LCM of 99, 684, 108 ?

Least Common Multiple of 99, 684, 108.

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(99, 684, 108) = 2 x 2 x 3 x 3 x 3 x 11 x 19 = 22572.