Least Common Multiple of 8418/41, 7743/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8418/41, 7743/637 quickly i.e. 21726858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8418/41, 7743/637 is 21726858.

LCM(8418/41, 7743/637) = 21726858

LCM of 8418/41, 7743/637

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 8418/41,7743/637

Given numbers are 8418/41,7743/637

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 8418,7743

Least Common Multiple of Numerators i.e. LCM of 8418,7743 is 21726858.

GCF of Denominators means GCF of 41,637 as per the given fractions.

GCF of 41,637 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8418,7743

LCM of Fractions 8418/41,7743/637 is 21726858

3 8418, 7743
2806, 2581

∴ So the LCM of the given numbers is 3 x 2806 x 2581 = 21726858

Least Common Multiple of 8418,7743 with GCF Formula

Least Common Multiple of 8418,7743 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 8418,7743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8418,7743) = 3

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

GCF(8418,7743) x common factors =3 x 1 = 3

LCM(8418,7743) = ( 8418 × 7743 ) / 3

LCM(8418,7743) = 65180574 / 3

LCM(8418,7743) = 21726858


Lets's calculate GCF of 41,637

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21726858/1

Therefore the LCM of Fractions 8418/41,7743/637 is 21726858

Greatest Common Factor of 41,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,637 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 41,637 . The biggest common factor number is the GCF number.
So the greatest common factor 41,637 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 8418/41, 7743/637

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 8418/41, 7743/637?

Answer: LCM of Numerators as per given numbers 8418/41, 7743/637 is

LCM of Numerators i.e. for 8418,7743 is 21726858

GCF of denominators i.e. for 41,637 is 1.

Thus, LCM of Fractions is 21726858.Finally, LCM of Fractions for 8418/41, 7743/637 is 21726858.