Least Common Multiple of 683/517, 1366/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 683/517, 1366/427 quickly i.e. 1366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 683/517, 1366/427 is 1366.

LCM(683/517, 1366/427) = 1366

LCM of 683/517, 1366/427

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 683/517,1366/427

Given numbers are 683/517,1366/427

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 683,1366

Least Common Multiple of Numerators i.e. LCM of 683,1366 is 1366.

GCF of Denominators means GCF of 517,427 as per the given fractions.

GCF of 517,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 683,1366

LCM of Fractions 683/517,1366/427 is 1366

683 683, 1366
1, 2

∴ So the LCM of the given numbers is 683 x 1 x 2 = 1366

Least Common Multiple of 683,1366 with GCF Formula

Least Common Multiple of 683,1366 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 683,1366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,1366) = 683

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

GCF(683,1366) x common factors =683 x 1 = 683

LCM(683,1366) = ( 683 × 1366 ) / 683

LCM(683,1366) = 932978 / 683

LCM(683,1366) = 1366


Lets's calculate GCF of 517,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1366/1

Therefore the LCM of Fractions 683/517,1366/427 is 1366

Greatest Common Factor of 517,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,427 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 517,427 . The biggest common factor number is the GCF number.
So the greatest common factor 517,427 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 683/517, 1366/427

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 683/517, 1366/427?

Answer: LCM of Numerators as per given numbers 683/517, 1366/427 is

LCM of Numerators i.e. for 683,1366 is 1366

GCF of denominators i.e. for 517,427 is 1.

Thus, LCM of Fractions is 1366.Finally, LCM of Fractions for 683/517, 1366/427 is 1366.