Least Common Multiple of 4566/506, 6831/5920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4566/506, 6831/5920 quickly i.e. 5198391 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4566/506, 6831/5920 is 5198391.

LCM(4566/506, 6831/5920) = 5198391

LCM of 4566/506, 6831/5920

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 4566/506,6831/5920

Given numbers are 4566/506,6831/5920

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 4566,6831

Least Common Multiple of Numerators i.e. LCM of 4566,6831 is 10396782.

GCF of Denominators means GCF of 506,5920 as per the given fractions.

GCF of 506,5920 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4566,6831

LCM of Fractions 4566/506,6831/5920 is 5198391

3 4566, 6831
1522, 2277

∴ So the LCM of the given numbers is 3 x 1522 x 2277 = 10396782

Least Common Multiple of 4566,6831 with GCF Formula

Least Common Multiple of 4566,6831 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 4566,6831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4566,6831) = 3

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

GCF(4566,6831) x common factors =3 x 1 = 3

LCM(4566,6831) = ( 4566 × 6831 ) / 3

LCM(4566,6831) = 31190346 / 3

LCM(4566,6831) = 10396782


Lets's calculate GCF of 506,5920

2 506, 5920
253, 2960

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10396782/2

Therefore the LCM of Fractions 4566/506,6831/5920 is 5198391

Greatest Common Factor of 506,5920 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,5920 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 5920

List of positive integer factors of 5920 that divides 5920 without a remainder.

1,2,4,5,8,10,16,20,32,37,40,74,80,148,160,185,296,370,592,740,1184,1480,2960,5920

Greatest Common Factor

We found the factors 506,5920 . The biggest common factor number is the GCF number.
So the greatest common factor 506,5920 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 4566/506, 6831/5920

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 4566/506, 6831/5920?

Answer: LCM of Numerators as per given numbers 4566/506, 6831/5920 is

LCM of Numerators i.e. for 4566,6831 is 10396782

GCF of denominators i.e. for 506,5920 is 2.

Thus, LCM of Fractions is 5198391.Finally, LCM of Fractions for 4566/506, 6831/5920 is 5198391.