Least Common Multiple of 7821/613, 5817/7098

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7821/613, 5817/7098 quickly i.e. 15164919 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7821/613, 5817/7098 is 15164919.

LCM(7821/613, 5817/7098) = 15164919

LCM of 7821/613, 5817/7098

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 7821/613,5817/7098

Given numbers are 7821/613,5817/7098

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 7821,5817

Least Common Multiple of Numerators i.e. LCM of 7821,5817 is 15164919.

GCF of Denominators means GCF of 613,7098 as per the given fractions.

GCF of 613,7098 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7821,5817

LCM of Fractions 7821/613,5817/7098 is 15164919

3 7821, 5817
2607, 1939

∴ So the LCM of the given numbers is 3 x 2607 x 1939 = 15164919

Least Common Multiple of 7821,5817 with GCF Formula

Least Common Multiple of 7821,5817 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 7821,5817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7821,5817) = 3

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

GCF(7821,5817) x common factors =3 x 1 = 3

LCM(7821,5817) = ( 7821 × 5817 ) / 3

LCM(7821,5817) = 45494757 / 3

LCM(7821,5817) = 15164919


Lets's calculate GCF of 613,7098

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15164919/1

Therefore the LCM of Fractions 7821/613,5817/7098 is 15164919

Greatest Common Factor of 613,7098 By Matching Biggest Common Factor Method

Greatest Common Factor of 613,7098 By Matching Biggest Common Factor Method

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Factors of 7098

List of positive integer factors of 7098 that divides 7098 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,169,182,273,338,507,546,1014,1183,2366,3549,7098

Greatest Common Factor

We found the factors 613,7098 . The biggest common factor number is the GCF number.
So the greatest common factor 613,7098 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 7821/613, 5817/7098

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 7821/613, 5817/7098?

Answer: LCM of Numerators as per given numbers 7821/613, 5817/7098 is

LCM of Numerators i.e. for 7821,5817 is 15164919

GCF of denominators i.e. for 613,7098 is 1.

Thus, LCM of Fractions is 15164919.Finally, LCM of Fractions for 7821/613, 5817/7098 is 15164919.