Least Common Multiple of 5298/103, 7878/3694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5298/103, 7878/3694 quickly i.e. 6956274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5298/103, 7878/3694 is 6956274.

LCM(5298/103, 7878/3694) = 6956274

LCM of 5298/103, 7878/3694

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 5298/103,7878/3694

Given numbers are 5298/103,7878/3694

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 5298,7878

Least Common Multiple of Numerators i.e. LCM of 5298,7878 is 6956274.

GCF of Denominators means GCF of 103,3694 as per the given fractions.

GCF of 103,3694 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5298,7878

LCM of Fractions 5298/103,7878/3694 is 6956274

2 5298, 7878
3 2649, 3939
883, 1313

∴ So the LCM of the given numbers is 2 x 3 x 883 x 1313 = 6956274

Least Common Multiple of 5298,7878 with GCF Formula

Least Common Multiple of 5298,7878 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 5298,7878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5298,7878) = 6

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

GCF(5298,7878) x common factors =6 x 1 = 6

LCM(5298,7878) = ( 5298 × 7878 ) / 6

LCM(5298,7878) = 41737644 / 6

LCM(5298,7878) = 6956274


Lets's calculate GCF of 103,3694

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6956274/1

Therefore the LCM of Fractions 5298/103,7878/3694 is 6956274

Greatest Common Factor of 103,3694 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,3694 By Matching Biggest Common Factor Method

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 3694

List of positive integer factors of 3694 that divides 3694 without a remainder.

1,2,1847,3694

Greatest Common Factor

We found the factors 103,3694 . The biggest common factor number is the GCF number.
So the greatest common factor 103,3694 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 5298/103, 7878/3694

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 5298/103, 7878/3694?

Answer: LCM of Numerators as per given numbers 5298/103, 7878/3694 is

LCM of Numerators i.e. for 5298,7878 is 6956274

GCF of denominators i.e. for 103,3694 is 1.

Thus, LCM of Fractions is 6956274.Finally, LCM of Fractions for 5298/103, 7878/3694 is 6956274.