Least Common Multiple of 6494/489, 8484/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6494/489, 8484/663 quickly i.e. 9182516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6494/489, 8484/663 is 9182516.

LCM(6494/489, 8484/663) = 9182516

LCM of 6494/489, 8484/663

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 6494/489,8484/663

Given numbers are 6494/489,8484/663

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 6494,8484

Least Common Multiple of Numerators i.e. LCM of 6494,8484 is 27547548.

GCF of Denominators means GCF of 489,663 as per the given fractions.

GCF of 489,663 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6494,8484

LCM of Fractions 6494/489,8484/663 is 9182516

2 6494, 8484
3247, 4242

∴ So the LCM of the given numbers is 2 x 3247 x 4242 = 27547548

Least Common Multiple of 6494,8484 with GCF Formula

Least Common Multiple of 6494,8484 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 6494,8484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6494,8484) = 2

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

GCF(6494,8484) x common factors =2 x 1 = 2

LCM(6494,8484) = ( 6494 × 8484 ) / 2

LCM(6494,8484) = 55095096 / 2

LCM(6494,8484) = 27547548


Lets's calculate GCF of 489,663

3 489, 663
163, 221

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27547548/3

Therefore the LCM of Fractions 6494/489,8484/663 is 9182516

Greatest Common Factor of 489,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,663 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 489,663 . The biggest common factor number is the GCF number.
So the greatest common factor 489,663 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 6494/489, 8484/663

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 6494/489, 8484/663?

Answer: LCM of Numerators as per given numbers 6494/489, 8484/663 is

LCM of Numerators i.e. for 6494,8484 is 27547548

GCF of denominators i.e. for 489,663 is 3.

Thus, LCM of Fractions is 9182516.Finally, LCM of Fractions for 6494/489, 8484/663 is 9182516.