Least Common Multiple of 84, 96, 144

Q: How to Find the LCM of 84, 96, 144 ?

Least Common Multiple of 84, 96, 144 = 2016 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(84, 96, 144) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 = 2016.

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 84, 96, 144 i.e. 2016 smallest integer divisible by all numbers.

Least common multiple (LCM) of 84, 96, 144 is 2016.

LCM(84, 96, 144) = 2016

LCM of 84, 96, 144

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

Least Common Multiple of 84, 96, 144 by common division method
Least Common Multiple of 84, 96, 144 with GCF Formula

Least Common Multiple of 84,96,144

Least Common Multiple (LCM) of 84,96,144 is 2016

2	84, 96, 144
2	42, 48, 72
2	21, 24, 36
2	21, 12, 18
3	21, 6, 9
	7, 2, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 2 x 3 = 2016

Least Common Multiple of 84,96,144 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 84,96,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,96,144) = 12

common factors(in case of two or more numbers have common factors) = 48

GCF(84,96,144) x common factors =12 x 48 = 576

LCM(84,96,144) = ( 84 × 96 × 144 ) / 576

LCM(84,96,144) = 1161216 / 576

LCM(84,96,144) = 2016

∴ Least Common Multiple of 84,96,144 is 2016

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 84, 96, 144

1. What is the LCM of 84, 96, 144?

Answer: LCM of 84, 96, 144 is 2016.

2. What are the Factors of 2016?

Answer: Factors of 2016 are . There are integers that are factors of 2016

3. How to Find the LCM of 84, 96, 144 ?

Least Common Multiple of 84, 96, 144.

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(84, 96, 144) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 = 2016.