Least Common Multiple of 539/31, 751/38, 586/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 539/31, 751/38, 586/13 quickly i.e. 237206354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 539/31, 751/38, 586/13 is 237206354.

LCM(539/31, 751/38, 586/13) = 237206354

LCM of 539/31, 751/38, 586/13

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 539/31,751/38,586/13

Given numbers are 539/31,751/38,586/13

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 539,751,586

Least Common Multiple of Numerators i.e. LCM of 539,751,586 is 237206354.

GCF of Denominators means GCF of 31,38,13 as per the given fractions.

GCF of 31,38,13 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 539,751,586

LCM of Fractions 539/31,751/38,586/13 is 237206354

Given numbers has no common factors except 1. So, there LCM is their product i.e 237206354

Least Common Multiple of 539,751,586 with GCF Formula

Least Common Multiple of 539,751,586 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 539,751,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,751,586) = 1

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

GCF(539,751,586) x common factors =1 x 1 = 1

LCM(539,751,586) = ( 539 × 751 × 586 ) / 1

LCM(539,751,586) = 237206354 / 1

LCM(539,751,586) = 237206354


Lets's calculate GCF of 31,38,13

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237206354/1

Therefore the LCM of Fractions 539/31,751/38,586/13 is 237206354

Greatest Common Factor of 31,38,13 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,38,13 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Greatest Common Factor

We found the factors 31,38,13 . The biggest common factor number is the GCF number.
So the greatest common factor 31,38,13 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 539/31, 751/38, 586/13

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 539/31, 751/38, 586/13?

Answer: LCM of Numerators as per given numbers 539/31, 751/38, 586/13 is

LCM of Numerators i.e. for 539,751,586 is 237206354

GCF of denominators i.e. for 31,38,13 is 1.

Thus, LCM of Fractions is 237206354.Finally, LCM of Fractions for 539/31, 751/38, 586/13 is 237206354.