Least Common Multiple of 5343/558, 4851/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5343/558, 4851/831 quickly i.e. 2879877 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5343/558, 4851/831 is 2879877.

LCM(5343/558, 4851/831) = 2879877

LCM of 5343/558, 4851/831

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 5343/558,4851/831

Given numbers are 5343/558,4851/831

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 5343,4851

Least Common Multiple of Numerators i.e. LCM of 5343,4851 is 8639631.

GCF of Denominators means GCF of 558,831 as per the given fractions.

GCF of 558,831 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5343,4851

LCM of Fractions 5343/558,4851/831 is 2879877

3 5343, 4851
1781, 1617

∴ So the LCM of the given numbers is 3 x 1781 x 1617 = 8639631

Least Common Multiple of 5343,4851 with GCF Formula

Least Common Multiple of 5343,4851 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 5343,4851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5343,4851) = 3

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

GCF(5343,4851) x common factors =3 x 1 = 3

LCM(5343,4851) = ( 5343 × 4851 ) / 3

LCM(5343,4851) = 25918893 / 3

LCM(5343,4851) = 8639631


Lets's calculate GCF of 558,831

3 558, 831
186, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8639631/3

Therefore the LCM of Fractions 5343/558,4851/831 is 2879877

Greatest Common Factor of 558,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,831 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 558,831 . The biggest common factor number is the GCF number.
So the greatest common factor 558,831 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5343/558, 4851/831

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 5343/558, 4851/831?

Answer: LCM of Numerators as per given numbers 5343/558, 4851/831 is

LCM of Numerators i.e. for 5343,4851 is 8639631

GCF of denominators i.e. for 558,831 is 3.

Thus, LCM of Fractions is 2879877.Finally, LCM of Fractions for 5343/558, 4851/831 is 2879877.