Least Common Multiple of 517/68, 113/7735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 517/68, 113/7735 quickly i.e. 58421/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 517/68, 113/7735 is 58421/17.

LCM(517/68, 113/7735) = 58421/17

LCM of 517/68, 113/7735

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 517/68,113/7735

Given numbers are 517/68,113/7735

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 517,113

Least Common Multiple of Numerators i.e. LCM of 517,113 is 58421.

GCF of Denominators means GCF of 68,7735 as per the given fractions.

GCF of 68,7735 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 517,113

LCM of Fractions 517/68,113/7735 is 58421/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 58421

Least Common Multiple of 517,113 with GCF Formula

Least Common Multiple of 517,113 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 517,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,113) = 1

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

GCF(517,113) x common factors =1 x 1 = 1

LCM(517,113) = ( 517 × 113 ) / 1

LCM(517,113) = 58421 / 1

LCM(517,113) = 58421


Lets's calculate GCF of 68,7735

17 68, 7735
4, 455

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58421/17

Therefore the LCM of Fractions 517/68,113/7735 is 58421/17

Greatest Common Factor of 68,7735 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,7735 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 7735

List of positive integer factors of 7735 that divides 7735 without a remainder.

1,5,7,13,17,35,65,85,91,119,221,455,595,1105,1547,7735

Greatest Common Factor

We found the factors 68,7735 . The biggest common factor number is the GCF number.
So the greatest common factor 68,7735 is 17.


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 517/68, 113/7735

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 517/68, 113/7735?

Answer: LCM of Numerators as per given numbers 517/68, 113/7735 is

LCM of Numerators i.e. for 517,113 is 58421

GCF of denominators i.e. for 68,7735 is 17.

Thus, LCM of Fractions is 58421/17.Finally, LCM of Fractions for 517/68, 113/7735 is 58421/17.