Least Common Multiple of 494/576, 9390/6639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/576, 9390/6639 quickly i.e. 773110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/576, 9390/6639 is 773110.

LCM(494/576, 9390/6639) = 773110

LCM of 494/576, 9390/6639

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 494/576,9390/6639

Given numbers are 494/576,9390/6639

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 494,9390

Least Common Multiple of Numerators i.e. LCM of 494,9390 is 2319330.

GCF of Denominators means GCF of 576,6639 as per the given fractions.

GCF of 576,6639 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,9390

LCM of Fractions 494/576,9390/6639 is 773110

2 494, 9390
247, 4695

∴ So the LCM of the given numbers is 2 x 247 x 4695 = 2319330

Least Common Multiple of 494,9390 with GCF Formula

Least Common Multiple of 494,9390 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 494,9390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,9390) = 2

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

GCF(494,9390) x common factors =2 x 1 = 2

LCM(494,9390) = ( 494 × 9390 ) / 2

LCM(494,9390) = 4638660 / 2

LCM(494,9390) = 2319330


Lets's calculate GCF of 576,6639

3 576, 6639
192, 2213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2319330/3

Therefore the LCM of Fractions 494/576,9390/6639 is 773110

Greatest Common Factor of 576,6639 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,6639 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 6639

List of positive integer factors of 6639 that divides 6639 without a remainder.

1,3,2213,6639

Greatest Common Factor

We found the factors 576,6639 . The biggest common factor number is the GCF number.
So the greatest common factor 576,6639 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 494/576, 9390/6639

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 494/576, 9390/6639?

Answer: LCM of Numerators as per given numbers 494/576, 9390/6639 is

LCM of Numerators i.e. for 494,9390 is 2319330

GCF of denominators i.e. for 576,6639 is 3.

Thus, LCM of Fractions is 773110.Finally, LCM of Fractions for 494/576, 9390/6639 is 773110.