Least Common Multiple of 13/14, 272/44, 831/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/14, 272/44, 831/563 quickly i.e. 2938416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/14, 272/44, 831/563 is 2938416.

LCM(13/14, 272/44, 831/563) = 2938416

LCM of 13/14, 272/44, 831/563

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 13/14,272/44,831/563

Given numbers are 13/14,272/44,831/563

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 13,272,831

Least Common Multiple of Numerators i.e. LCM of 13,272,831 is 2938416.

GCF of Denominators means GCF of 14,44,563 as per the given fractions.

GCF of 14,44,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,272,831

LCM of Fractions 13/14,272/44,831/563 is 2938416

Given numbers has no common factors except 1. So, there LCM is their product i.e 2938416

Least Common Multiple of 13,272,831 with GCF Formula

Least Common Multiple of 13,272,831 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 13,272,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,272,831) = 1

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

GCF(13,272,831) x common factors =1 x 1 = 1

LCM(13,272,831) = ( 13 × 272 × 831 ) / 1

LCM(13,272,831) = 2938416 / 1

LCM(13,272,831) = 2938416


Lets's calculate GCF of 14,44,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2938416/1

Therefore the LCM of Fractions 13/14,272/44,831/563 is 2938416

Greatest Common Factor of 14,44,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,44,563 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 14,44,563 . The biggest common factor number is the GCF number.
So the greatest common factor 14,44,563 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/14, 272/44, 831/563

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 13/14, 272/44, 831/563?

Answer: LCM of Numerators as per given numbers 13/14, 272/44, 831/563 is

LCM of Numerators i.e. for 13,272,831 is 2938416

GCF of denominators i.e. for 14,44,563 is 1.

Thus, LCM of Fractions is 2938416.Finally, LCM of Fractions for 13/14, 272/44, 831/563 is 2938416.