Least Common Multiple of 31/522, 259/868, 343/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/522, 259/868, 343/697 quickly i.e. 393421 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/522, 259/868, 343/697 is 393421.

LCM(31/522, 259/868, 343/697) = 393421

LCM of 31/522, 259/868, 343/697

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 31/522,259/868,343/697

Given numbers are 31/522,259/868,343/697

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 31,259,343

Least Common Multiple of Numerators i.e. LCM of 31,259,343 is 393421.

GCF of Denominators means GCF of 522,868,697 as per the given fractions.

GCF of 522,868,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,259,343

LCM of Fractions 31/522,259/868,343/697 is 393421

7 31, 259, 343
31, 37, 49

∴ So the LCM of the given numbers is 7 x 31 x 37 x 49 = 393421

Least Common Multiple of 31,259,343 with GCF Formula

Least Common Multiple of 31,259,343 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 31,259,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,259,343) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(31,259,343) x common factors =1 x 7 = 7

LCM(31,259,343) = ( 31 × 259 × 343 ) / 7

LCM(31,259,343) = 2753947 / 7

LCM(31,259,343) = 393421


Lets's calculate GCF of 522,868,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 393421/1

Therefore the LCM of Fractions 31/522,259/868,343/697 is 393421

Greatest Common Factor of 522,868,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,868,697 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 522,868,697 . The biggest common factor number is the GCF number.
So the greatest common factor 522,868,697 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 31/522, 259/868, 343/697

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 31/522, 259/868, 343/697?

Answer: LCM of Numerators as per given numbers 31/522, 259/868, 343/697 is

LCM of Numerators i.e. for 31,259,343 is 393421

GCF of denominators i.e. for 522,868,697 is 1.

Thus, LCM of Fractions is 393421.Finally, LCM of Fractions for 31/522, 259/868, 343/697 is 393421.