Least Common Multiple of 2915/789, 8459/6879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2915/789, 8459/6879 quickly i.e. 2241635/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2915/789, 8459/6879 is 2241635/3.

LCM(2915/789, 8459/6879) = 2241635/3

LCM of 2915/789, 8459/6879

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 2915/789,8459/6879

Given numbers are 2915/789,8459/6879

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 2915,8459

Least Common Multiple of Numerators i.e. LCM of 2915,8459 is 2241635.

GCF of Denominators means GCF of 789,6879 as per the given fractions.

GCF of 789,6879 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2915,8459

LCM of Fractions 2915/789,8459/6879 is 2241635/3

11 2915, 8459
265, 769

∴ So the LCM of the given numbers is 11 x 265 x 769 = 2241635

Least Common Multiple of 2915,8459 with GCF Formula

Least Common Multiple of 2915,8459 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 2915,8459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2915,8459) = 11

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

GCF(2915,8459) x common factors =11 x 1 = 11

LCM(2915,8459) = ( 2915 × 8459 ) / 11

LCM(2915,8459) = 24657985 / 11

LCM(2915,8459) = 2241635


Lets's calculate GCF of 789,6879

3 789, 6879
263, 2293

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2241635/3

Therefore the LCM of Fractions 2915/789,8459/6879 is 2241635/3

Greatest Common Factor of 789,6879 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,6879 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 6879

List of positive integer factors of 6879 that divides 6879 without a remainder.

1,3,2293,6879

Greatest Common Factor

We found the factors 789,6879 . The biggest common factor number is the GCF number.
So the greatest common factor 789,6879 is 3.


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 2915/789, 8459/6879

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 2915/789, 8459/6879?

Answer: LCM of Numerators as per given numbers 2915/789, 8459/6879 is

LCM of Numerators i.e. for 2915,8459 is 2241635

GCF of denominators i.e. for 789,6879 is 3.

Thus, LCM of Fractions is 2241635/3.Finally, LCM of Fractions for 2915/789, 8459/6879 is 2241635/3.