Least Common Multiple of 2726/460, 1992/5691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2726/460, 1992/5691 quickly i.e. 2715096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2726/460, 1992/5691 is 2715096.

LCM(2726/460, 1992/5691) = 2715096

LCM of 2726/460, 1992/5691

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 2726/460,1992/5691

Given numbers are 2726/460,1992/5691

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 2726,1992

Least Common Multiple of Numerators i.e. LCM of 2726,1992 is 2715096.

GCF of Denominators means GCF of 460,5691 as per the given fractions.

GCF of 460,5691 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2726,1992

LCM of Fractions 2726/460,1992/5691 is 2715096

2 2726, 1992
1363, 996

∴ So the LCM of the given numbers is 2 x 1363 x 996 = 2715096

Least Common Multiple of 2726,1992 with GCF Formula

Least Common Multiple of 2726,1992 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 2726,1992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2726,1992) = 2

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

GCF(2726,1992) x common factors =2 x 1 = 2

LCM(2726,1992) = ( 2726 × 1992 ) / 2

LCM(2726,1992) = 5430192 / 2

LCM(2726,1992) = 2715096


Lets's calculate GCF of 460,5691

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2715096/1

Therefore the LCM of Fractions 2726/460,1992/5691 is 2715096

Greatest Common Factor of 460,5691 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,5691 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 5691

List of positive integer factors of 5691 that divides 5691 without a remainder.

1,3,7,21,271,813,1897,5691

Greatest Common Factor

We found the factors 460,5691 . The biggest common factor number is the GCF number.
So the greatest common factor 460,5691 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 2726/460, 1992/5691

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 2726/460, 1992/5691?

Answer: LCM of Numerators as per given numbers 2726/460, 1992/5691 is

LCM of Numerators i.e. for 2726,1992 is 2715096

GCF of denominators i.e. for 460,5691 is 1.

Thus, LCM of Fractions is 2715096.Finally, LCM of Fractions for 2726/460, 1992/5691 is 2715096.