Least Common Multiple of 7937/289, 8491/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7937/289, 8491/344 quickly i.e. 67393067 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7937/289, 8491/344 is 67393067.

LCM(7937/289, 8491/344) = 67393067

LCM of 7937/289, 8491/344

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 7937/289,8491/344

Given numbers are 7937/289,8491/344

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 7937,8491

Least Common Multiple of Numerators i.e. LCM of 7937,8491 is 67393067.

GCF of Denominators means GCF of 289,344 as per the given fractions.

GCF of 289,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7937,8491

LCM of Fractions 7937/289,8491/344 is 67393067

Given numbers has no common factors except 1. So, there LCM is their product i.e 67393067

Least Common Multiple of 7937,8491 with GCF Formula

Least Common Multiple of 7937,8491 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 7937,8491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7937,8491) = 1

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

GCF(7937,8491) x common factors =1 x 1 = 1

LCM(7937,8491) = ( 7937 × 8491 ) / 1

LCM(7937,8491) = 67393067 / 1

LCM(7937,8491) = 67393067


Lets's calculate GCF of 289,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67393067/1

Therefore the LCM of Fractions 7937/289,8491/344 is 67393067

Greatest Common Factor of 289,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,344 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 289,344 . The biggest common factor number is the GCF number.
So the greatest common factor 289,344 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 7937/289, 8491/344

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 7937/289, 8491/344?

Answer: LCM of Numerators as per given numbers 7937/289, 8491/344 is

LCM of Numerators i.e. for 7937,8491 is 67393067

GCF of denominators i.e. for 289,344 is 1.

Thus, LCM of Fractions is 67393067.Finally, LCM of Fractions for 7937/289, 8491/344 is 67393067.