Least Common Multiple of 7014/135, 2337/4779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7014/135, 2337/4779 quickly i.e. 5463906/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7014/135, 2337/4779 is 5463906/27.

LCM(7014/135, 2337/4779) = 5463906/27

LCM of 7014/135, 2337/4779

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 7014/135,2337/4779

Given numbers are 7014/135,2337/4779

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 7014,2337

Least Common Multiple of Numerators i.e. LCM of 7014,2337 is 5463906.

GCF of Denominators means GCF of 135,4779 as per the given fractions.

GCF of 135,4779 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7014,2337

LCM of Fractions 7014/135,2337/4779 is 5463906/27

3 7014, 2337
2338, 779

∴ So the LCM of the given numbers is 3 x 2338 x 779 = 5463906

Least Common Multiple of 7014,2337 with GCF Formula

Least Common Multiple of 7014,2337 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 7014,2337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7014,2337) = 3

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

GCF(7014,2337) x common factors =3 x 1 = 3

LCM(7014,2337) = ( 7014 × 2337 ) / 3

LCM(7014,2337) = 16391718 / 3

LCM(7014,2337) = 5463906


Lets's calculate GCF of 135,4779

3 135, 4779
3 45, 1593
3 15, 531
5, 177

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5463906/27

Therefore the LCM of Fractions 7014/135,2337/4779 is 5463906/27

Greatest Common Factor of 135,4779 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,4779 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 4779

List of positive integer factors of 4779 that divides 4779 without a remainder.

1,3,9,27,59,81,177,531,1593,4779

Greatest Common Factor

We found the factors 135,4779 . The biggest common factor number is the GCF number.
So the greatest common factor 135,4779 is 27.


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 7014/135, 2337/4779

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 7014/135, 2337/4779?

Answer: LCM of Numerators as per given numbers 7014/135, 2337/4779 is

LCM of Numerators i.e. for 7014,2337 is 5463906

GCF of denominators i.e. for 135,4779 is 27.

Thus, LCM of Fractions is 5463906/27.Finally, LCM of Fractions for 7014/135, 2337/4779 is 5463906/27.