Least Common Multiple of 9789/424, 1192/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9789/424, 1192/878 quickly i.e. 5834244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9789/424, 1192/878 is 5834244.

LCM(9789/424, 1192/878) = 5834244

LCM of 9789/424, 1192/878

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 9789/424,1192/878

Given numbers are 9789/424,1192/878

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 9789,1192

Least Common Multiple of Numerators i.e. LCM of 9789,1192 is 11668488.

GCF of Denominators means GCF of 424,878 as per the given fractions.

GCF of 424,878 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9789,1192

LCM of Fractions 9789/424,1192/878 is 5834244

Given numbers has no common factors except 1. So, there LCM is their product i.e 11668488

Least Common Multiple of 9789,1192 with GCF Formula

Least Common Multiple of 9789,1192 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 9789,1192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9789,1192) = 1

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

GCF(9789,1192) x common factors =1 x 1 = 1

LCM(9789,1192) = ( 9789 × 1192 ) / 1

LCM(9789,1192) = 11668488 / 1

LCM(9789,1192) = 11668488


Lets's calculate GCF of 424,878

2 424, 878
212, 439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11668488/2

Therefore the LCM of Fractions 9789/424,1192/878 is 5834244

Greatest Common Factor of 424,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,878 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 424,878 . The biggest common factor number is the GCF number.
So the greatest common factor 424,878 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 9789/424, 1192/878

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 9789/424, 1192/878?

Answer: LCM of Numerators as per given numbers 9789/424, 1192/878 is

LCM of Numerators i.e. for 9789,1192 is 11668488

GCF of denominators i.e. for 424,878 is 2.

Thus, LCM of Fractions is 5834244.Finally, LCM of Fractions for 9789/424, 1192/878 is 5834244.