Least Common Multiple of 7844/467, 3116/7413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7844/467, 3116/7413 quickly i.e. 6110476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7844/467, 3116/7413 is 6110476.

LCM(7844/467, 3116/7413) = 6110476

LCM of 7844/467, 3116/7413

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 7844/467,3116/7413

Given numbers are 7844/467,3116/7413

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 7844,3116

Least Common Multiple of Numerators i.e. LCM of 7844,3116 is 6110476.

GCF of Denominators means GCF of 467,7413 as per the given fractions.

GCF of 467,7413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7844,3116

LCM of Fractions 7844/467,3116/7413 is 6110476

2 7844, 3116
2 3922, 1558
1961, 779

∴ So the LCM of the given numbers is 2 x 2 x 1961 x 779 = 6110476

Least Common Multiple of 7844,3116 with GCF Formula

Least Common Multiple of 7844,3116 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 7844,3116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7844,3116) = 4

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

GCF(7844,3116) x common factors =4 x 1 = 4

LCM(7844,3116) = ( 7844 × 3116 ) / 4

LCM(7844,3116) = 24441904 / 4

LCM(7844,3116) = 6110476


Lets's calculate GCF of 467,7413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6110476/1

Therefore the LCM of Fractions 7844/467,3116/7413 is 6110476

Greatest Common Factor of 467,7413 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,7413 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 7413

List of positive integer factors of 7413 that divides 7413 without a remainder.

1,3,7,21,353,1059,2471,7413

Greatest Common Factor

We found the factors 467,7413 . The biggest common factor number is the GCF number.
So the greatest common factor 467,7413 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 7844/467, 3116/7413

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 7844/467, 3116/7413?

Answer: LCM of Numerators as per given numbers 7844/467, 3116/7413 is

LCM of Numerators i.e. for 7844,3116 is 6110476

GCF of denominators i.e. for 467,7413 is 1.

Thus, LCM of Fractions is 6110476.Finally, LCM of Fractions for 7844/467, 3116/7413 is 6110476.