Least Common Multiple of 5358/477, 2576/6191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5358/477, 2576/6191 quickly i.e. 6901104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5358/477, 2576/6191 is 6901104.

LCM(5358/477, 2576/6191) = 6901104

LCM of 5358/477, 2576/6191

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 5358/477,2576/6191

Given numbers are 5358/477,2576/6191

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 5358,2576

Least Common Multiple of Numerators i.e. LCM of 5358,2576 is 6901104.

GCF of Denominators means GCF of 477,6191 as per the given fractions.

GCF of 477,6191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5358,2576

LCM of Fractions 5358/477,2576/6191 is 6901104

2 5358, 2576
2679, 1288

∴ So the LCM of the given numbers is 2 x 2679 x 1288 = 6901104

Least Common Multiple of 5358,2576 with GCF Formula

Least Common Multiple of 5358,2576 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 5358,2576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5358,2576) = 2

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

GCF(5358,2576) x common factors =2 x 1 = 2

LCM(5358,2576) = ( 5358 × 2576 ) / 2

LCM(5358,2576) = 13802208 / 2

LCM(5358,2576) = 6901104


Lets's calculate GCF of 477,6191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6901104/1

Therefore the LCM of Fractions 5358/477,2576/6191 is 6901104

Greatest Common Factor of 477,6191 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,6191 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 6191

List of positive integer factors of 6191 that divides 6191 without a remainder.

1,41,151,6191

Greatest Common Factor

We found the factors 477,6191 . The biggest common factor number is the GCF number.
So the greatest common factor 477,6191 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5358/477, 2576/6191

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 5358/477, 2576/6191?

Answer: LCM of Numerators as per given numbers 5358/477, 2576/6191 is

LCM of Numerators i.e. for 5358,2576 is 6901104

GCF of denominators i.e. for 477,6191 is 1.

Thus, LCM of Fractions is 6901104.Finally, LCM of Fractions for 5358/477, 2576/6191 is 6901104.