Least Common Multiple of 96, 144, 216

Q: How to Find the LCM of 96, 144, 216 ?

Least Common Multiple of 96, 144, 216 = 864 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(96, 144, 216) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 = 864.

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 96, 144, 216 i.e. 864 smallest integer divisible by all numbers.

Least common multiple (LCM) of 96, 144, 216 is 864.

LCM(96, 144, 216) = 864

LCM of 96, 144, 216

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

Least Common Multiple of 96, 144, 216 by common division method
Least Common Multiple of 96, 144, 216 with GCF Formula

Least Common Multiple of 96,144,216

Least Common Multiple (LCM) of 96,144,216 is 864

2	96, 144, 216
2	48, 72, 108
2	24, 36, 54
2	12, 18, 27
3	6, 9, 27
3	2, 3, 9
	2, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 2 x 1 x 3 = 864

Least Common Multiple of 96,144,216 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 96,144,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,144,216) = 24

common factors(in case of two or more numbers have common factors) = 144

GCF(96,144,216) x common factors =24 x 144 = 3456

LCM(96,144,216) = ( 96 × 144 × 216 ) / 3456

LCM(96,144,216) = 2985984 / 3456

LCM(96,144,216) = 864

∴ Least Common Multiple of 96,144,216 is 864

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 96, 144, 216

1. What is the LCM of 96, 144, 216?

Answer: LCM of 96, 144, 216 is 864.

2. What are the Factors of 864?

Answer: Factors of 864 are . There are integers that are factors of 864

3. How to Find the LCM of 96, 144, 216 ?

Least Common Multiple of 96, 144, 216.

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(96, 144, 216) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 = 864.