Least Common Multiple of 794/676, 419/995, 520/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 794/676, 419/995, 520/541 quickly i.e. 86498360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 794/676, 419/995, 520/541 is 86498360.

LCM(794/676, 419/995, 520/541) = 86498360

LCM of 794/676, 419/995, 520/541

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 794/676,419/995,520/541

Given numbers are 794/676,419/995,520/541

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 794,419,520

Least Common Multiple of Numerators i.e. LCM of 794,419,520 is 86498360.

GCF of Denominators means GCF of 676,995,541 as per the given fractions.

GCF of 676,995,541 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 794,419,520

LCM of Fractions 794/676,419/995,520/541 is 86498360

2 794, 419, 520
397, 419, 260

∴ So the LCM of the given numbers is 2 x 397 x 419 x 260 = 86498360

Least Common Multiple of 794,419,520 with GCF Formula

Least Common Multiple of 794,419,520 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 794,419,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,419,520) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(794,419,520) x common factors =1 x 2 = 2

LCM(794,419,520) = ( 794 × 419 × 520 ) / 2

LCM(794,419,520) = 172996720 / 2

LCM(794,419,520) = 86498360


Lets's calculate GCF of 676,995,541

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86498360/1

Therefore the LCM of Fractions 794/676,419/995,520/541 is 86498360

Greatest Common Factor of 676,995,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,995,541 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Greatest Common Factor

We found the factors 676,995,541 . The biggest common factor number is the GCF number.
So the greatest common factor 676,995,541 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 794/676, 419/995, 520/541

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 794/676, 419/995, 520/541?

Answer: LCM of Numerators as per given numbers 794/676, 419/995, 520/541 is

LCM of Numerators i.e. for 794,419,520 is 86498360

GCF of denominators i.e. for 676,995,541 is 1.

Thus, LCM of Fractions is 86498360.Finally, LCM of Fractions for 794/676, 419/995, 520/541 is 86498360.