Least Common Multiple of 793/345, 781/845, 813/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 793/345, 781/845, 813/638 quickly i.e. 503517729 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 793/345, 781/845, 813/638 is 503517729.

LCM(793/345, 781/845, 813/638) = 503517729

LCM of 793/345, 781/845, 813/638

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 793/345,781/845,813/638

Given numbers are 793/345,781/845,813/638

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 793,781,813

Least Common Multiple of Numerators i.e. LCM of 793,781,813 is 503517729.

GCF of Denominators means GCF of 345,845,638 as per the given fractions.

GCF of 345,845,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 793,781,813

LCM of Fractions 793/345,781/845,813/638 is 503517729

Given numbers has no common factors except 1. So, there LCM is their product i.e 503517729

Least Common Multiple of 793,781,813 with GCF Formula

Least Common Multiple of 793,781,813 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 793,781,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(793,781,813) = 1

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

GCF(793,781,813) x common factors =1 x 1 = 1

LCM(793,781,813) = ( 793 × 781 × 813 ) / 1

LCM(793,781,813) = 503517729 / 1

LCM(793,781,813) = 503517729


Lets's calculate GCF of 345,845,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 503517729/1

Therefore the LCM of Fractions 793/345,781/845,813/638 is 503517729

Greatest Common Factor of 345,845,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,845,638 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 345,845,638 . The biggest common factor number is the GCF number.
So the greatest common factor 345,845,638 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 793/345, 781/845, 813/638

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 793/345, 781/845, 813/638?

Answer: LCM of Numerators as per given numbers 793/345, 781/845, 813/638 is

LCM of Numerators i.e. for 793,781,813 is 503517729

GCF of denominators i.e. for 345,845,638 is 1.

Thus, LCM of Fractions is 503517729.Finally, LCM of Fractions for 793/345, 781/845, 813/638 is 503517729.