Least Common Multiple of 7844/261, 9478/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7844/261, 9478/324 quickly i.e. 37172716/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7844/261, 9478/324 is 37172716/9.

LCM(7844/261, 9478/324) = 37172716/9

LCM of 7844/261, 9478/324

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 7844/261,9478/324

Given numbers are 7844/261,9478/324

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 7844,9478

Least Common Multiple of Numerators i.e. LCM of 7844,9478 is 37172716.

GCF of Denominators means GCF of 261,324 as per the given fractions.

GCF of 261,324 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7844,9478

LCM of Fractions 7844/261,9478/324 is 37172716/9

2 7844, 9478
3922, 4739

∴ So the LCM of the given numbers is 2 x 3922 x 4739 = 37172716

Least Common Multiple of 7844,9478 with GCF Formula

Least Common Multiple of 7844,9478 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 7844,9478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7844,9478) = 2

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

GCF(7844,9478) x common factors =2 x 1 = 2

LCM(7844,9478) = ( 7844 × 9478 ) / 2

LCM(7844,9478) = 74345432 / 2

LCM(7844,9478) = 37172716


Lets's calculate GCF of 261,324

3 261, 324
3 87, 108
29, 36

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37172716/9

Therefore the LCM of Fractions 7844/261,9478/324 is 37172716/9

Greatest Common Factor of 261,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,324 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 261,324 . The biggest common factor number is the GCF number.
So the greatest common factor 261,324 is 9.


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 7844/261, 9478/324

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 7844/261, 9478/324?

Answer: LCM of Numerators as per given numbers 7844/261, 9478/324 is

LCM of Numerators i.e. for 7844,9478 is 37172716

GCF of denominators i.e. for 261,324 is 9.

Thus, LCM of Fractions is 37172716/9.Finally, LCM of Fractions for 7844/261, 9478/324 is 37172716/9.