Least Common Multiple of 717/113, 855/200, 334/795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 717/113, 855/200, 334/795 quickly i.e. 68251230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 717/113, 855/200, 334/795 is 68251230.

LCM(717/113, 855/200, 334/795) = 68251230

LCM of 717/113, 855/200, 334/795

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 717/113,855/200,334/795

Given numbers are 717/113,855/200,334/795

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 717,855,334

Least Common Multiple of Numerators i.e. LCM of 717,855,334 is 68251230.

GCF of Denominators means GCF of 113,200,795 as per the given fractions.

GCF of 113,200,795 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 717,855,334

LCM of Fractions 717/113,855/200,334/795 is 68251230

3 717, 855, 334
239, 285, 334

∴ So the LCM of the given numbers is 3 x 239 x 285 x 334 = 68251230

Least Common Multiple of 717,855,334 with GCF Formula

Least Common Multiple of 717,855,334 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 717,855,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,855,334) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(717,855,334) x common factors =1 x 3 = 3

LCM(717,855,334) = ( 717 × 855 × 334 ) / 3

LCM(717,855,334) = 204753690 / 3

LCM(717,855,334) = 68251230


Lets's calculate GCF of 113,200,795

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68251230/1

Therefore the LCM of Fractions 717/113,855/200,334/795 is 68251230

Greatest Common Factor of 113,200,795 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,200,795 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Greatest Common Factor

We found the factors 113,200,795 . The biggest common factor number is the GCF number.
So the greatest common factor 113,200,795 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 717/113, 855/200, 334/795

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 717/113, 855/200, 334/795?

Answer: LCM of Numerators as per given numbers 717/113, 855/200, 334/795 is

LCM of Numerators i.e. for 717,855,334 is 68251230

GCF of denominators i.e. for 113,200,795 is 1.

Thus, LCM of Fractions is 68251230.Finally, LCM of Fractions for 717/113, 855/200, 334/795 is 68251230.