Least Common Multiple of 731/404, 6759/1678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 731/404, 6759/1678 quickly i.e. 4940829/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 731/404, 6759/1678 is 4940829/2.

LCM(731/404, 6759/1678) = 4940829/2

LCM of 731/404, 6759/1678

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 731/404,6759/1678

Given numbers are 731/404,6759/1678

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 731,6759

Least Common Multiple of Numerators i.e. LCM of 731,6759 is 4940829.

GCF of Denominators means GCF of 404,1678 as per the given fractions.

GCF of 404,1678 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 731,6759

LCM of Fractions 731/404,6759/1678 is 4940829/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 4940829

Least Common Multiple of 731,6759 with GCF Formula

Least Common Multiple of 731,6759 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 731,6759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,6759) = 1

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

GCF(731,6759) x common factors =1 x 1 = 1

LCM(731,6759) = ( 731 × 6759 ) / 1

LCM(731,6759) = 4940829 / 1

LCM(731,6759) = 4940829


Lets's calculate GCF of 404,1678

2 404, 1678
202, 839

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4940829/2

Therefore the LCM of Fractions 731/404,6759/1678 is 4940829/2

Greatest Common Factor of 404,1678 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,1678 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 1678

List of positive integer factors of 1678 that divides 1678 without a remainder.

1,2,839,1678

Greatest Common Factor

We found the factors 404,1678 . The biggest common factor number is the GCF number.
So the greatest common factor 404,1678 is 2.


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 731/404, 6759/1678

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 731/404, 6759/1678?

Answer: LCM of Numerators as per given numbers 731/404, 6759/1678 is

LCM of Numerators i.e. for 731,6759 is 4940829

GCF of denominators i.e. for 404,1678 is 2.

Thus, LCM of Fractions is 4940829/2.Finally, LCM of Fractions for 731/404, 6759/1678 is 4940829/2.