Least Common Multiple of 539/50, 491/43, 203/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 539/50, 491/43, 203/749 quickly i.e. 7674821 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 539/50, 491/43, 203/749 is 7674821.

LCM(539/50, 491/43, 203/749) = 7674821

LCM of 539/50, 491/43, 203/749

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 539/50,491/43,203/749

Given numbers are 539/50,491/43,203/749

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 539,491,203

Least Common Multiple of Numerators i.e. LCM of 539,491,203 is 7674821.

GCF of Denominators means GCF of 50,43,749 as per the given fractions.

GCF of 50,43,749 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 539,491,203

LCM of Fractions 539/50,491/43,203/749 is 7674821

7 539, 491, 203
77, 491, 29

∴ So the LCM of the given numbers is 7 x 77 x 491 x 29 = 7674821

Least Common Multiple of 539,491,203 with GCF Formula

Least Common Multiple of 539,491,203 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 539,491,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,491,203) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(539,491,203) x common factors =1 x 7 = 7

LCM(539,491,203) = ( 539 × 491 × 203 ) / 7

LCM(539,491,203) = 53723747 / 7

LCM(539,491,203) = 7674821


Lets's calculate GCF of 50,43,749

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7674821/1

Therefore the LCM of Fractions 539/50,491/43,203/749 is 7674821

Greatest Common Factor of 50,43,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,43,749 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 50,43,749 . The biggest common factor number is the GCF number.
So the greatest common factor 50,43,749 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 539/50, 491/43, 203/749

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 539/50, 491/43, 203/749?

Answer: LCM of Numerators as per given numbers 539/50, 491/43, 203/749 is

LCM of Numerators i.e. for 539,491,203 is 7674821

GCF of denominators i.e. for 50,43,749 is 1.

Thus, LCM of Fractions is 7674821.Finally, LCM of Fractions for 539/50, 491/43, 203/749 is 7674821.