Least Common Multiple of 5658/231, 4874/2654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5658/231, 4874/2654 quickly i.e. 13788546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5658/231, 4874/2654 is 13788546.

LCM(5658/231, 4874/2654) = 13788546

LCM of 5658/231, 4874/2654

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 5658/231,4874/2654

Given numbers are 5658/231,4874/2654

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 5658,4874

Least Common Multiple of Numerators i.e. LCM of 5658,4874 is 13788546.

GCF of Denominators means GCF of 231,2654 as per the given fractions.

GCF of 231,2654 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5658,4874

LCM of Fractions 5658/231,4874/2654 is 13788546

2 5658, 4874
2829, 2437

∴ So the LCM of the given numbers is 2 x 2829 x 2437 = 13788546

Least Common Multiple of 5658,4874 with GCF Formula

Least Common Multiple of 5658,4874 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 5658,4874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5658,4874) = 2

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

GCF(5658,4874) x common factors =2 x 1 = 2

LCM(5658,4874) = ( 5658 × 4874 ) / 2

LCM(5658,4874) = 27577092 / 2

LCM(5658,4874) = 13788546


Lets's calculate GCF of 231,2654

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13788546/1

Therefore the LCM of Fractions 5658/231,4874/2654 is 13788546

Greatest Common Factor of 231,2654 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,2654 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 2654

List of positive integer factors of 2654 that divides 2654 without a remainder.

1,2,1327,2654

Greatest Common Factor

We found the factors 231,2654 . The biggest common factor number is the GCF number.
So the greatest common factor 231,2654 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 5658/231, 4874/2654

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 5658/231, 4874/2654?

Answer: LCM of Numerators as per given numbers 5658/231, 4874/2654 is

LCM of Numerators i.e. for 5658,4874 is 13788546

GCF of denominators i.e. for 231,2654 is 1.

Thus, LCM of Fractions is 13788546.Finally, LCM of Fractions for 5658/231, 4874/2654 is 13788546.