Least Common Multiple of 7842/616, 7413/5065

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7842/616, 7413/5065 quickly i.e. 19377582 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7842/616, 7413/5065 is 19377582.

LCM(7842/616, 7413/5065) = 19377582

LCM of 7842/616, 7413/5065

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 7842/616,7413/5065

Given numbers are 7842/616,7413/5065

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 7842,7413

Least Common Multiple of Numerators i.e. LCM of 7842,7413 is 19377582.

GCF of Denominators means GCF of 616,5065 as per the given fractions.

GCF of 616,5065 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7842,7413

LCM of Fractions 7842/616,7413/5065 is 19377582

3 7842, 7413
2614, 2471

∴ So the LCM of the given numbers is 3 x 2614 x 2471 = 19377582

Least Common Multiple of 7842,7413 with GCF Formula

Least Common Multiple of 7842,7413 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 7842,7413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7842,7413) = 3

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

GCF(7842,7413) x common factors =3 x 1 = 3

LCM(7842,7413) = ( 7842 × 7413 ) / 3

LCM(7842,7413) = 58132746 / 3

LCM(7842,7413) = 19377582


Lets's calculate GCF of 616,5065

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19377582/1

Therefore the LCM of Fractions 7842/616,7413/5065 is 19377582

Greatest Common Factor of 616,5065 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,5065 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 5065

List of positive integer factors of 5065 that divides 5065 without a remainder.

1,5,1013,5065

Greatest Common Factor

We found the factors 616,5065 . The biggest common factor number is the GCF number.
So the greatest common factor 616,5065 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 7842/616, 7413/5065

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 7842/616, 7413/5065?

Answer: LCM of Numerators as per given numbers 7842/616, 7413/5065 is

LCM of Numerators i.e. for 7842,7413 is 19377582

GCF of denominators i.e. for 616,5065 is 1.

Thus, LCM of Fractions is 19377582.Finally, LCM of Fractions for 7842/616, 7413/5065 is 19377582.