Least Common Multiple of 5096/866, 3249/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5096/866, 3249/796 quickly i.e. 8278452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5096/866, 3249/796 is 8278452.

LCM(5096/866, 3249/796) = 8278452

LCM of 5096/866, 3249/796

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 5096/866,3249/796

Given numbers are 5096/866,3249/796

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 5096,3249

Least Common Multiple of Numerators i.e. LCM of 5096,3249 is 16556904.

GCF of Denominators means GCF of 866,796 as per the given fractions.

GCF of 866,796 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5096,3249

LCM of Fractions 5096/866,3249/796 is 8278452

Given numbers has no common factors except 1. So, there LCM is their product i.e 16556904

Least Common Multiple of 5096,3249 with GCF Formula

Least Common Multiple of 5096,3249 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 5096,3249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5096,3249) = 1

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

GCF(5096,3249) x common factors =1 x 1 = 1

LCM(5096,3249) = ( 5096 × 3249 ) / 1

LCM(5096,3249) = 16556904 / 1

LCM(5096,3249) = 16556904


Lets's calculate GCF of 866,796

2 866, 796
433, 398

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16556904/2

Therefore the LCM of Fractions 5096/866,3249/796 is 8278452

Greatest Common Factor of 866,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 866,796 By Matching Biggest Common Factor Method

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 866,796 . The biggest common factor number is the GCF number.
So the greatest common factor 866,796 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5096/866, 3249/796

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 5096/866, 3249/796?

Answer: LCM of Numerators as per given numbers 5096/866, 3249/796 is

LCM of Numerators i.e. for 5096,3249 is 16556904

GCF of denominators i.e. for 866,796 is 2.

Thus, LCM of Fractions is 8278452.Finally, LCM of Fractions for 5096/866, 3249/796 is 8278452.