Least Common Multiple of 31/819, 413/679, 977/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/819, 413/679, 977/713 quickly i.e. 12508531 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/819, 413/679, 977/713 is 12508531.

LCM(31/819, 413/679, 977/713) = 12508531

LCM of 31/819, 413/679, 977/713

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 31/819,413/679,977/713

Given numbers are 31/819,413/679,977/713

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 31,413,977

Least Common Multiple of Numerators i.e. LCM of 31,413,977 is 12508531.

GCF of Denominators means GCF of 819,679,713 as per the given fractions.

GCF of 819,679,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,413,977

LCM of Fractions 31/819,413/679,977/713 is 12508531

Given numbers has no common factors except 1. So, there LCM is their product i.e 12508531

Least Common Multiple of 31,413,977 with GCF Formula

Least Common Multiple of 31,413,977 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 31,413,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,413,977) = 1

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

GCF(31,413,977) x common factors =1 x 1 = 1

LCM(31,413,977) = ( 31 × 413 × 977 ) / 1

LCM(31,413,977) = 12508531 / 1

LCM(31,413,977) = 12508531


Lets's calculate GCF of 819,679,713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12508531/1

Therefore the LCM of Fractions 31/819,413/679,977/713 is 12508531

Greatest Common Factor of 819,679,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,679,713 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 819,679,713 . The biggest common factor number is the GCF number.
So the greatest common factor 819,679,713 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 31/819, 413/679, 977/713

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 31/819, 413/679, 977/713?

Answer: LCM of Numerators as per given numbers 31/819, 413/679, 977/713 is

LCM of Numerators i.e. for 31,413,977 is 12508531

GCF of denominators i.e. for 819,679,713 is 1.

Thus, LCM of Fractions is 12508531.Finally, LCM of Fractions for 31/819, 413/679, 977/713 is 12508531.