Least Common Multiple of 31/326, 863/479, 749/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/326, 863/479, 749/788 quickly i.e. 20037997 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/326, 863/479, 749/788 is 20037997.

LCM(31/326, 863/479, 749/788) = 20037997

LCM of 31/326, 863/479, 749/788

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 31/326,863/479,749/788

Given numbers are 31/326,863/479,749/788

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 31,863,749

Least Common Multiple of Numerators i.e. LCM of 31,863,749 is 20037997.

GCF of Denominators means GCF of 326,479,788 as per the given fractions.

GCF of 326,479,788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,863,749

LCM of Fractions 31/326,863/479,749/788 is 20037997

Given numbers has no common factors except 1. So, there LCM is their product i.e 20037997

Least Common Multiple of 31,863,749 with GCF Formula

Least Common Multiple of 31,863,749 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 31,863,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,863,749) = 1

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

GCF(31,863,749) x common factors =1 x 1 = 1

LCM(31,863,749) = ( 31 × 863 × 749 ) / 1

LCM(31,863,749) = 20037997 / 1

LCM(31,863,749) = 20037997


Lets's calculate GCF of 326,479,788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20037997/1

Therefore the LCM of Fractions 31/326,863/479,749/788 is 20037997

Greatest Common Factor of 326,479,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,479,788 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 326,479,788 . The biggest common factor number is the GCF number.
So the greatest common factor 326,479,788 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 31/326, 863/479, 749/788

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 31/326, 863/479, 749/788?

Answer: LCM of Numerators as per given numbers 31/326, 863/479, 749/788 is

LCM of Numerators i.e. for 31,863,749 is 20037997

GCF of denominators i.e. for 326,479,788 is 1.

Thus, LCM of Fractions is 20037997.Finally, LCM of Fractions for 31/326, 863/479, 749/788 is 20037997.