Least Common Multiple of 539/269, 981/914, 717/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 539/269, 981/914, 717/427 quickly i.e. 126373401 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 539/269, 981/914, 717/427 is 126373401.

LCM(539/269, 981/914, 717/427) = 126373401

LCM of 539/269, 981/914, 717/427

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 539/269,981/914,717/427

Given numbers are 539/269,981/914,717/427

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 539,981,717

Least Common Multiple of Numerators i.e. LCM of 539,981,717 is 126373401.

GCF of Denominators means GCF of 269,914,427 as per the given fractions.

GCF of 269,914,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 539,981,717

LCM of Fractions 539/269,981/914,717/427 is 126373401

3 539, 981, 717
539, 327, 239

∴ So the LCM of the given numbers is 3 x 539 x 327 x 239 = 126373401

Least Common Multiple of 539,981,717 with GCF Formula

Least Common Multiple of 539,981,717 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 539,981,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,981,717) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(539,981,717) x common factors =1 x 3 = 3

LCM(539,981,717) = ( 539 × 981 × 717 ) / 3

LCM(539,981,717) = 379120203 / 3

LCM(539,981,717) = 126373401


Lets's calculate GCF of 269,914,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126373401/1

Therefore the LCM of Fractions 539/269,981/914,717/427 is 126373401

Greatest Common Factor of 269,914,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,914,427 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 269,914,427 . The biggest common factor number is the GCF number.
So the greatest common factor 269,914,427 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 539/269, 981/914, 717/427

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 539/269, 981/914, 717/427?

Answer: LCM of Numerators as per given numbers 539/269, 981/914, 717/427 is

LCM of Numerators i.e. for 539,981,717 is 126373401

GCF of denominators i.e. for 269,914,427 is 1.

Thus, LCM of Fractions is 126373401.Finally, LCM of Fractions for 539/269, 981/914, 717/427 is 126373401.