Least Common Multiple of 5478/314, 5361/7676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5478/314, 5361/7676 quickly i.e. 4894593 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5478/314, 5361/7676 is 4894593.

LCM(5478/314, 5361/7676) = 4894593

LCM of 5478/314, 5361/7676

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 5478/314,5361/7676

Given numbers are 5478/314,5361/7676

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 5478,5361

Least Common Multiple of Numerators i.e. LCM of 5478,5361 is 9789186.

GCF of Denominators means GCF of 314,7676 as per the given fractions.

GCF of 314,7676 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5478,5361

LCM of Fractions 5478/314,5361/7676 is 4894593

3 5478, 5361
1826, 1787

∴ So the LCM of the given numbers is 3 x 1826 x 1787 = 9789186

Least Common Multiple of 5478,5361 with GCF Formula

Least Common Multiple of 5478,5361 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 5478,5361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5478,5361) = 3

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

GCF(5478,5361) x common factors =3 x 1 = 3

LCM(5478,5361) = ( 5478 × 5361 ) / 3

LCM(5478,5361) = 29367558 / 3

LCM(5478,5361) = 9789186


Lets's calculate GCF of 314,7676

2 314, 7676
157, 3838

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9789186/2

Therefore the LCM of Fractions 5478/314,5361/7676 is 4894593

Greatest Common Factor of 314,7676 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,7676 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 7676

List of positive integer factors of 7676 that divides 7676 without a remainder.

1,2,4,19,38,76,101,202,404,1919,3838,7676

Greatest Common Factor

We found the factors 314,7676 . The biggest common factor number is the GCF number.
So the greatest common factor 314,7676 is 2.


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 5478/314, 5361/7676

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 5478/314, 5361/7676?

Answer: LCM of Numerators as per given numbers 5478/314, 5361/7676 is

LCM of Numerators i.e. for 5478,5361 is 9789186

GCF of denominators i.e. for 314,7676 is 2.

Thus, LCM of Fractions is 4894593.Finally, LCM of Fractions for 5478/314, 5361/7676 is 4894593.