Least Common Multiple of 6873/625, 4194/8790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6873/625, 4194/8790 quickly i.e. 9608454/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6873/625, 4194/8790 is 9608454/5.

LCM(6873/625, 4194/8790) = 9608454/5

LCM of 6873/625, 4194/8790

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 6873/625,4194/8790

Given numbers are 6873/625,4194/8790

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 6873,4194

Least Common Multiple of Numerators i.e. LCM of 6873,4194 is 9608454.

GCF of Denominators means GCF of 625,8790 as per the given fractions.

GCF of 625,8790 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6873,4194

LCM of Fractions 6873/625,4194/8790 is 9608454/5

3 6873, 4194
2291, 1398

∴ So the LCM of the given numbers is 3 x 2291 x 1398 = 9608454

Least Common Multiple of 6873,4194 with GCF Formula

Least Common Multiple of 6873,4194 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 6873,4194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6873,4194) = 3

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

GCF(6873,4194) x common factors =3 x 1 = 3

LCM(6873,4194) = ( 6873 × 4194 ) / 3

LCM(6873,4194) = 28825362 / 3

LCM(6873,4194) = 9608454


Lets's calculate GCF of 625,8790

5 625, 8790
125, 1758

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9608454/5

Therefore the LCM of Fractions 6873/625,4194/8790 is 9608454/5

Greatest Common Factor of 625,8790 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,8790 By Matching Biggest Common Factor Method

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 8790

List of positive integer factors of 8790 that divides 8790 without a remainder.

1,2,3,5,6,10,15,30,293,586,879,1465,1758,2930,4395,8790

Greatest Common Factor

We found the factors 625,8790 . The biggest common factor number is the GCF number.
So the greatest common factor 625,8790 is 5.


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 6873/625, 4194/8790

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 6873/625, 4194/8790?

Answer: LCM of Numerators as per given numbers 6873/625, 4194/8790 is

LCM of Numerators i.e. for 6873,4194 is 9608454

GCF of denominators i.e. for 625,8790 is 5.

Thus, LCM of Fractions is 9608454/5.Finally, LCM of Fractions for 6873/625, 4194/8790 is 9608454/5.