Least Common Multiple of 7978/260, 2667/3281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7978/260, 2667/3281 quickly i.e. 21277326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7978/260, 2667/3281 is 21277326.

LCM(7978/260, 2667/3281) = 21277326

LCM of 7978/260, 2667/3281

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 7978/260,2667/3281

Given numbers are 7978/260,2667/3281

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 7978,2667

Least Common Multiple of Numerators i.e. LCM of 7978,2667 is 21277326.

GCF of Denominators means GCF of 260,3281 as per the given fractions.

GCF of 260,3281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7978,2667

LCM of Fractions 7978/260,2667/3281 is 21277326

Given numbers has no common factors except 1. So, there LCM is their product i.e 21277326

Least Common Multiple of 7978,2667 with GCF Formula

Least Common Multiple of 7978,2667 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 7978,2667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7978,2667) = 1

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

GCF(7978,2667) x common factors =1 x 1 = 1

LCM(7978,2667) = ( 7978 × 2667 ) / 1

LCM(7978,2667) = 21277326 / 1

LCM(7978,2667) = 21277326


Lets's calculate GCF of 260,3281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21277326/1

Therefore the LCM of Fractions 7978/260,2667/3281 is 21277326

Greatest Common Factor of 260,3281 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,3281 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 3281

List of positive integer factors of 3281 that divides 3281 without a remainder.

1,17,193,3281

Greatest Common Factor

We found the factors 260,3281 . The biggest common factor number is the GCF number.
So the greatest common factor 260,3281 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 7978/260, 2667/3281

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 7978/260, 2667/3281?

Answer: LCM of Numerators as per given numbers 7978/260, 2667/3281 is

LCM of Numerators i.e. for 7978,2667 is 21277326

GCF of denominators i.e. for 260,3281 is 1.

Thus, LCM of Fractions is 21277326.Finally, LCM of Fractions for 7978/260, 2667/3281 is 21277326.