Least Common Multiple of 491/75, 317/10, 391/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/75, 317/10, 391/779 quickly i.e. 60857977 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/75, 317/10, 391/779 is 60857977.

LCM(491/75, 317/10, 391/779) = 60857977

LCM of 491/75, 317/10, 391/779

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 491/75,317/10,391/779

Given numbers are 491/75,317/10,391/779

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 491,317,391

Least Common Multiple of Numerators i.e. LCM of 491,317,391 is 60857977.

GCF of Denominators means GCF of 75,10,779 as per the given fractions.

GCF of 75,10,779 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,317,391

LCM of Fractions 491/75,317/10,391/779 is 60857977

Given numbers has no common factors except 1. So, there LCM is their product i.e 60857977

Least Common Multiple of 491,317,391 with GCF Formula

Least Common Multiple of 491,317,391 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 491,317,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,317,391) = 1

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

GCF(491,317,391) x common factors =1 x 1 = 1

LCM(491,317,391) = ( 491 × 317 × 391 ) / 1

LCM(491,317,391) = 60857977 / 1

LCM(491,317,391) = 60857977


Lets's calculate GCF of 75,10,779

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60857977/1

Therefore the LCM of Fractions 491/75,317/10,391/779 is 60857977

Greatest Common Factor of 75,10,779 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,10,779 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors 75,10,779 . The biggest common factor number is the GCF number.
So the greatest common factor 75,10,779 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 491/75, 317/10, 391/779

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 491/75, 317/10, 391/779?

Answer: LCM of Numerators as per given numbers 491/75, 317/10, 391/779 is

LCM of Numerators i.e. for 491,317,391 is 60857977

GCF of denominators i.e. for 75,10,779 is 1.

Thus, LCM of Fractions is 60857977.Finally, LCM of Fractions for 491/75, 317/10, 391/779 is 60857977.