Least Common Multiple of 489, 144

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 489, 144 i.e. 23472 smallest integer divisible by all numbers.

Least common multiple (LCM) of 489, 144 is 23472.

LCM(489, 144) = 23472

LCM of 489, 144

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

LCM of:

Least Common Multiple of 489,144

Least Common Multiple (LCM) of 489,144 is 23472

3 489, 144
163, 48

∴ So the LCM of the given numbers is 3 x 163 x 48 = 23472

Least Common Multiple of 489,144 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 489,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,144) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(489,144) x common factors =3 x 1 = 3

LCM(489,144) = ( 489 × 144 ) / 3

LCM(489,144) = 70416 / 3

LCM(489,144) = 23472

∴ Least Common Multiple of 489,144 is 23472

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 489, 144

1. What is the LCM of 489, 144?

Answer: LCM of 489, 144 is 23472.

2. What are the Factors of 23472?

Answer: Factors of 23472 are . There are integers that are factors of 23472

3. How to Find the LCM of 489, 144 ?

Least Common Multiple of 489, 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(489, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 163 = 23472.