Least Common Multiple of 7326/966, 6404/1291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7326/966, 6404/1291 quickly i.e. 23457852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7326/966, 6404/1291 is 23457852.

LCM(7326/966, 6404/1291) = 23457852

LCM of 7326/966, 6404/1291

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 7326/966,6404/1291

Given numbers are 7326/966,6404/1291

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 7326,6404

Least Common Multiple of Numerators i.e. LCM of 7326,6404 is 23457852.

GCF of Denominators means GCF of 966,1291 as per the given fractions.

GCF of 966,1291 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7326,6404

LCM of Fractions 7326/966,6404/1291 is 23457852

2 7326, 6404
3663, 3202

∴ So the LCM of the given numbers is 2 x 3663 x 3202 = 23457852

Least Common Multiple of 7326,6404 with GCF Formula

Least Common Multiple of 7326,6404 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 7326,6404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7326,6404) = 2

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

GCF(7326,6404) x common factors =2 x 1 = 2

LCM(7326,6404) = ( 7326 × 6404 ) / 2

LCM(7326,6404) = 46915704 / 2

LCM(7326,6404) = 23457852


Lets's calculate GCF of 966,1291

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23457852/1

Therefore the LCM of Fractions 7326/966,6404/1291 is 23457852

Greatest Common Factor of 966,1291 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,1291 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 1291

List of positive integer factors of 1291 that divides 1291 without a remainder.

1,1291

Greatest Common Factor

We found the factors 966,1291 . The biggest common factor number is the GCF number.
So the greatest common factor 966,1291 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 7326/966, 6404/1291

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 7326/966, 6404/1291?

Answer: LCM of Numerators as per given numbers 7326/966, 6404/1291 is

LCM of Numerators i.e. for 7326,6404 is 23457852

GCF of denominators i.e. for 966,1291 is 1.

Thus, LCM of Fractions is 23457852.Finally, LCM of Fractions for 7326/966, 6404/1291 is 23457852.