Least Common Multiple of 489, 648

Q: How to Find the LCM of 489, 648 ?

Least Common Multiple of 489, 648 = 105624 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, 648) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 163 = 105624.

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, 648 i.e. 105624 smallest integer divisible by all numbers.

Least common multiple (LCM) of 489, 648 is 105624.

LCM(489, 648) = 105624

LCM of 489, 648

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

Least Common Multiple of 489, 648 by common division method
Least Common Multiple of 489, 648 with GCF Formula

Least Common Multiple of 489,648

Least Common Multiple (LCM) of 489,648 is 105624

3	489, 648
	163, 216

∴ So the LCM of the given numbers is 3 x 163 x 216 = 105624

Least Common Multiple of 489,648 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 489,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,648) = 3

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

GCF(489,648) x common factors =3 x 1 = 3

LCM(489,648) = ( 489 × 648 ) / 3

LCM(489,648) = 316872 / 3

LCM(489,648) = 105624

∴ Least Common Multiple of 489,648 is 105624

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 489, 648

1. What is the LCM of 489, 648?

Answer: LCM of 489, 648 is 105624.

2. What are the Factors of 105624?

Answer: Factors of 105624 are . There are integers that are factors of 105624

3. How to Find the LCM of 489, 648 ?

Least Common Multiple of 489, 648.

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, 648) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 163 = 105624.