Least Common Multiple of 99, 144, 426

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, 144, 426 i.e. 112464 smallest integer divisible by all numbers.

Least common multiple (LCM) of 99, 144, 426 is 112464.

LCM(99, 144, 426) = 112464

LCM of 99, 144, 426

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

LCM of:

Least Common Multiple of 99,144,426

Least Common Multiple (LCM) of 99,144,426 is 112464

2 99, 144, 426
3 99, 72, 213
3 33, 24, 71
11, 8, 71

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 8 x 71 = 112464

Least Common Multiple of 99,144,426 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 99,144,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,144,426) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(99,144,426) x common factors =3 x 18 = 54

LCM(99,144,426) = ( 99 × 144 × 426 ) / 54

LCM(99,144,426) = 6073056 / 54

LCM(99,144,426) = 112464

∴ Least Common Multiple of 99,144,426 is 112464

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 99, 144, 426

1. What is the LCM of 99, 144, 426?

Answer: LCM of 99, 144, 426 is 112464.

2. What are the Factors of 112464?

Answer: Factors of 112464 are . There are integers that are factors of 112464

3. How to Find the LCM of 99, 144, 426 ?

Least Common Multiple of 99, 144, 426.

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, 144, 426) = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 71 = 112464.