Least Common Multiple of 91/580, 394/507, 857/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/580, 394/507, 857/891 quickly i.e. 30726878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/580, 394/507, 857/891 is 30726878.

LCM(91/580, 394/507, 857/891) = 30726878

LCM of 91/580, 394/507, 857/891

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 91/580,394/507,857/891

Given numbers are 91/580,394/507,857/891

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 91,394,857

Least Common Multiple of Numerators i.e. LCM of 91,394,857 is 30726878.

GCF of Denominators means GCF of 580,507,891 as per the given fractions.

GCF of 580,507,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,394,857

LCM of Fractions 91/580,394/507,857/891 is 30726878

Given numbers has no common factors except 1. So, there LCM is their product i.e 30726878

Least Common Multiple of 91,394,857 with GCF Formula

Least Common Multiple of 91,394,857 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 91,394,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,394,857) = 1

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

GCF(91,394,857) x common factors =1 x 1 = 1

LCM(91,394,857) = ( 91 × 394 × 857 ) / 1

LCM(91,394,857) = 30726878 / 1

LCM(91,394,857) = 30726878


Lets's calculate GCF of 580,507,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30726878/1

Therefore the LCM of Fractions 91/580,394/507,857/891 is 30726878

Greatest Common Factor of 580,507,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,507,891 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 580,507,891 . The biggest common factor number is the GCF number.
So the greatest common factor 580,507,891 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 91/580, 394/507, 857/891

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 91/580, 394/507, 857/891?

Answer: LCM of Numerators as per given numbers 91/580, 394/507, 857/891 is

LCM of Numerators i.e. for 91,394,857 is 30726878

GCF of denominators i.e. for 580,507,891 is 1.

Thus, LCM of Fractions is 30726878.Finally, LCM of Fractions for 91/580, 394/507, 857/891 is 30726878.