Least Common Multiple of 1396/814, 7807/2498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1396/814, 7807/2498 quickly i.e. 5449286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1396/814, 7807/2498 is 5449286.

LCM(1396/814, 7807/2498) = 5449286

LCM of 1396/814, 7807/2498

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 1396/814,7807/2498

Given numbers are 1396/814,7807/2498

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 1396,7807

Least Common Multiple of Numerators i.e. LCM of 1396,7807 is 10898572.

GCF of Denominators means GCF of 814,2498 as per the given fractions.

GCF of 814,2498 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1396,7807

LCM of Fractions 1396/814,7807/2498 is 5449286

Given numbers has no common factors except 1. So, there LCM is their product i.e 10898572

Least Common Multiple of 1396,7807 with GCF Formula

Least Common Multiple of 1396,7807 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 1396,7807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1396,7807) = 1

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

GCF(1396,7807) x common factors =1 x 1 = 1

LCM(1396,7807) = ( 1396 × 7807 ) / 1

LCM(1396,7807) = 10898572 / 1

LCM(1396,7807) = 10898572


Lets's calculate GCF of 814,2498

2 814, 2498
407, 1249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10898572/2

Therefore the LCM of Fractions 1396/814,7807/2498 is 5449286

Greatest Common Factor of 814,2498 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,2498 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 2498

List of positive integer factors of 2498 that divides 2498 without a remainder.

1,2,1249,2498

Greatest Common Factor

We found the factors 814,2498 . The biggest common factor number is the GCF number.
So the greatest common factor 814,2498 is 2.


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 1396/814, 7807/2498

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 1396/814, 7807/2498?

Answer: LCM of Numerators as per given numbers 1396/814, 7807/2498 is

LCM of Numerators i.e. for 1396,7807 is 10898572

GCF of denominators i.e. for 814,2498 is 2.

Thus, LCM of Fractions is 5449286.Finally, LCM of Fractions for 1396/814, 7807/2498 is 5449286.