Least Common Multiple of 9686/959, 2658/5036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9686/959, 2658/5036 quickly i.e. 12872694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9686/959, 2658/5036 is 12872694.

LCM(9686/959, 2658/5036) = 12872694

LCM of 9686/959, 2658/5036

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 9686/959,2658/5036

Given numbers are 9686/959,2658/5036

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 9686,2658

Least Common Multiple of Numerators i.e. LCM of 9686,2658 is 12872694.

GCF of Denominators means GCF of 959,5036 as per the given fractions.

GCF of 959,5036 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9686,2658

LCM of Fractions 9686/959,2658/5036 is 12872694

2 9686, 2658
4843, 1329

∴ So the LCM of the given numbers is 2 x 4843 x 1329 = 12872694

Least Common Multiple of 9686,2658 with GCF Formula

Least Common Multiple of 9686,2658 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 9686,2658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9686,2658) = 2

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

GCF(9686,2658) x common factors =2 x 1 = 2

LCM(9686,2658) = ( 9686 × 2658 ) / 2

LCM(9686,2658) = 25745388 / 2

LCM(9686,2658) = 12872694


Lets's calculate GCF of 959,5036

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12872694/1

Therefore the LCM of Fractions 9686/959,2658/5036 is 12872694

Greatest Common Factor of 959,5036 By Matching Biggest Common Factor Method

Greatest Common Factor of 959,5036 By Matching Biggest Common Factor Method

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 5036

List of positive integer factors of 5036 that divides 5036 without a remainder.

1,2,4,1259,2518,5036

Greatest Common Factor

We found the factors 959,5036 . The biggest common factor number is the GCF number.
So the greatest common factor 959,5036 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 9686/959, 2658/5036

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 9686/959, 2658/5036?

Answer: LCM of Numerators as per given numbers 9686/959, 2658/5036 is

LCM of Numerators i.e. for 9686,2658 is 12872694

GCF of denominators i.e. for 959,5036 is 1.

Thus, LCM of Fractions is 12872694.Finally, LCM of Fractions for 9686/959, 2658/5036 is 12872694.