Least Common Multiple of 6684/123, 8928/2644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6684/123, 8928/2644 quickly i.e. 4972896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6684/123, 8928/2644 is 4972896.

LCM(6684/123, 8928/2644) = 4972896

LCM of 6684/123, 8928/2644

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 6684/123,8928/2644

Given numbers are 6684/123,8928/2644

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 6684,8928

Least Common Multiple of Numerators i.e. LCM of 6684,8928 is 4972896.

GCF of Denominators means GCF of 123,2644 as per the given fractions.

GCF of 123,2644 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6684,8928

LCM of Fractions 6684/123,8928/2644 is 4972896

2 6684, 8928
2 3342, 4464
3 1671, 2232
557, 744

∴ So the LCM of the given numbers is 2 x 2 x 3 x 557 x 744 = 4972896

Least Common Multiple of 6684,8928 with GCF Formula

Least Common Multiple of 6684,8928 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 6684,8928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6684,8928) = 12

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

GCF(6684,8928) x common factors =12 x 1 = 12

LCM(6684,8928) = ( 6684 × 8928 ) / 12

LCM(6684,8928) = 59674752 / 12

LCM(6684,8928) = 4972896


Lets's calculate GCF of 123,2644

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4972896/1

Therefore the LCM of Fractions 6684/123,8928/2644 is 4972896

Greatest Common Factor of 123,2644 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,2644 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 2644

List of positive integer factors of 2644 that divides 2644 without a remainder.

1,2,4,661,1322,2644

Greatest Common Factor

We found the factors 123,2644 . The biggest common factor number is the GCF number.
So the greatest common factor 123,2644 is 1.


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 6684/123, 8928/2644

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 6684/123, 8928/2644?

Answer: LCM of Numerators as per given numbers 6684/123, 8928/2644 is

LCM of Numerators i.e. for 6684,8928 is 4972896

GCF of denominators i.e. for 123,2644 is 1.

Thus, LCM of Fractions is 4972896.Finally, LCM of Fractions for 6684/123, 8928/2644 is 4972896.