Least Common Multiple of 1198/39, 9264/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1198/39, 9264/819 quickly i.e. 5549136/39 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1198/39, 9264/819 is 5549136/39.

LCM(1198/39, 9264/819) = 5549136/39

LCM of 1198/39, 9264/819

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 1198/39,9264/819

Given numbers are 1198/39,9264/819

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 1198,9264

Least Common Multiple of Numerators i.e. LCM of 1198,9264 is 5549136.

GCF of Denominators means GCF of 39,819 as per the given fractions.

GCF of 39,819 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1198,9264

LCM of Fractions 1198/39,9264/819 is 5549136/39

2 1198, 9264
599, 4632

∴ So the LCM of the given numbers is 2 x 599 x 4632 = 5549136

Least Common Multiple of 1198,9264 with GCF Formula

Least Common Multiple of 1198,9264 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 1198,9264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1198,9264) = 2

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

GCF(1198,9264) x common factors =2 x 1 = 2

LCM(1198,9264) = ( 1198 × 9264 ) / 2

LCM(1198,9264) = 11098272 / 2

LCM(1198,9264) = 5549136


Lets's calculate GCF of 39,819

3 39, 819
13 13, 273
1, 21

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5549136/39

Therefore the LCM of Fractions 1198/39,9264/819 is 5549136/39

Greatest Common Factor of 39,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,819 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 39,819 . The biggest common factor number is the GCF number.
So the greatest common factor 39,819 is 39.


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 1198/39, 9264/819

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 1198/39, 9264/819?

Answer: LCM of Numerators as per given numbers 1198/39, 9264/819 is

LCM of Numerators i.e. for 1198,9264 is 5549136

GCF of denominators i.e. for 39,819 is 39.

Thus, LCM of Fractions is 5549136/39.Finally, LCM of Fractions for 1198/39, 9264/819 is 5549136/39.