Least Common Multiple of 801/359, 781/550, 539/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 801/359, 781/550, 539/538 quickly i.e. 30653469 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 801/359, 781/550, 539/538 is 30653469.

LCM(801/359, 781/550, 539/538) = 30653469

LCM of 801/359, 781/550, 539/538

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 801/359,781/550,539/538

Given numbers are 801/359,781/550,539/538

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 801,781,539

Least Common Multiple of Numerators i.e. LCM of 801,781,539 is 30653469.

GCF of Denominators means GCF of 359,550,538 as per the given fractions.

GCF of 359,550,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 801,781,539

LCM of Fractions 801/359,781/550,539/538 is 30653469

11 801, 781, 539
801, 71, 49

∴ So the LCM of the given numbers is 11 x 801 x 71 x 49 = 30653469

Least Common Multiple of 801,781,539 with GCF Formula

Least Common Multiple of 801,781,539 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 801,781,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(801,781,539) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(801,781,539) x common factors =1 x 11 = 11

LCM(801,781,539) = ( 801 × 781 × 539 ) / 11

LCM(801,781,539) = 337188159 / 11

LCM(801,781,539) = 30653469


Lets's calculate GCF of 359,550,538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30653469/1

Therefore the LCM of Fractions 801/359,781/550,539/538 is 30653469

Greatest Common Factor of 359,550,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,550,538 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

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 359,550,538 . The biggest common factor number is the GCF number.
So the greatest common factor 359,550,538 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 801/359, 781/550, 539/538

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 801/359, 781/550, 539/538?

Answer: LCM of Numerators as per given numbers 801/359, 781/550, 539/538 is

LCM of Numerators i.e. for 801,781,539 is 30653469

GCF of denominators i.e. for 359,550,538 is 1.

Thus, LCM of Fractions is 30653469.Finally, LCM of Fractions for 801/359, 781/550, 539/538 is 30653469.