Least Common Multiple of 132, 144, 968

Q: How to Find the LCM of 132, 144, 968 ?

Least Common Multiple of 132, 144, 968 = 17424 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(132, 144, 968) = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11 = 17424.

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 132, 144, 968 i.e. 17424 smallest integer divisible by all numbers.

Least common multiple (LCM) of 132, 144, 968 is 17424.

LCM(132, 144, 968) = 17424

LCM of 132, 144, 968

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

Least Common Multiple of 132, 144, 968 by common division method
Least Common Multiple of 132, 144, 968 with GCF Formula

Least Common Multiple of 132,144,968

Least Common Multiple (LCM) of 132,144,968 is 17424

2	132, 144, 968
2	66, 72, 484
2	33, 36, 242
3	33, 18, 121
11	11, 6, 121
	1, 6, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 1 x 6 x 11 = 17424

Least Common Multiple of 132,144,968 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 132,144,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,144,968) = 4

common factors(in case of two or more numbers have common factors) = 264

GCF(132,144,968) x common factors =4 x 264 = 1056

LCM(132,144,968) = ( 132 × 144 × 968 ) / 1056

LCM(132,144,968) = 18399744 / 1056

LCM(132,144,968) = 17424

∴ Least Common Multiple of 132,144,968 is 17424

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 132, 144, 968

1. What is the LCM of 132, 144, 968?

Answer: LCM of 132, 144, 968 is 17424.

2. What are the Factors of 17424?

Answer: Factors of 17424 are . There are integers that are factors of 17424

3. How to Find the LCM of 132, 144, 968 ?

Least Common Multiple of 132, 144, 968.

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(132, 144, 968) = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11 = 17424.