Least Common Multiple of 501/567, 5039/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 501/567, 5039/538 quickly i.e. 2524539 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/567, 5039/538 is 2524539.

LCM(501/567, 5039/538) = 2524539

LCM of 501/567, 5039/538

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 501/567,5039/538

Given numbers are 501/567,5039/538

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 501,5039

Least Common Multiple of Numerators i.e. LCM of 501,5039 is 2524539.

GCF of Denominators means GCF of 567,538 as per the given fractions.

GCF of 567,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,5039

LCM of Fractions 501/567,5039/538 is 2524539

Given numbers has no common factors except 1. So, there LCM is their product i.e 2524539

Least Common Multiple of 501,5039 with GCF Formula

Least Common Multiple of 501,5039 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 501,5039 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,5039) = 1

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

GCF(501,5039) x common factors =1 x 1 = 1

LCM(501,5039) = ( 501 × 5039 ) / 1

LCM(501,5039) = 2524539 / 1

LCM(501,5039) = 2524539


Lets's calculate GCF of 567,538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2524539/1

Therefore the LCM of Fractions 501/567,5039/538 is 2524539

Greatest Common Factor of 567,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,538 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 567,538 . The biggest common factor number is the GCF number.
So the greatest common factor 567,538 is 1.


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 501/567, 5039/538

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 501/567, 5039/538?

Answer: LCM of Numerators as per given numbers 501/567, 5039/538 is

LCM of Numerators i.e. for 501,5039 is 2524539

GCF of denominators i.e. for 567,538 is 1.

Thus, LCM of Fractions is 2524539.Finally, LCM of Fractions for 501/567, 5039/538 is 2524539.