Least Common Multiple of 260/90, 422/7811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 260/90, 422/7811 quickly i.e. 54860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 260/90, 422/7811 is 54860.

LCM(260/90, 422/7811) = 54860

LCM of 260/90, 422/7811

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 260/90,422/7811

Given numbers are 260/90,422/7811

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 260,422

Least Common Multiple of Numerators i.e. LCM of 260,422 is 54860.

GCF of Denominators means GCF of 90,7811 as per the given fractions.

GCF of 90,7811 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 260,422

LCM of Fractions 260/90,422/7811 is 54860

2 260, 422
130, 211

∴ So the LCM of the given numbers is 2 x 130 x 211 = 54860

Least Common Multiple of 260,422 with GCF Formula

Least Common Multiple of 260,422 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 260,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,422) = 2

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

GCF(260,422) x common factors =2 x 1 = 2

LCM(260,422) = ( 260 × 422 ) / 2

LCM(260,422) = 109720 / 2

LCM(260,422) = 54860


Lets's calculate GCF of 90,7811

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54860/1

Therefore the LCM of Fractions 260/90,422/7811 is 54860

Greatest Common Factor of 90,7811 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,7811 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 7811

List of positive integer factors of 7811 that divides 7811 without a remainder.

1,73,107,7811

Greatest Common Factor

We found the factors 90,7811 . The biggest common factor number is the GCF number.
So the greatest common factor 90,7811 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 260/90, 422/7811

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 260/90, 422/7811?

Answer: LCM of Numerators as per given numbers 260/90, 422/7811 is

LCM of Numerators i.e. for 260,422 is 54860

GCF of denominators i.e. for 90,7811 is 1.

Thus, LCM of Fractions is 54860.Finally, LCM of Fractions for 260/90, 422/7811 is 54860.