Least Common Multiple of 398/99, 279/5292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/99, 279/5292 quickly i.e. 12338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/99, 279/5292 is 12338.

LCM(398/99, 279/5292) = 12338

LCM of 398/99, 279/5292

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 398/99,279/5292

Given numbers are 398/99,279/5292

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 398,279

Least Common Multiple of Numerators i.e. LCM of 398,279 is 111042.

GCF of Denominators means GCF of 99,5292 as per the given fractions.

GCF of 99,5292 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,279

LCM of Fractions 398/99,279/5292 is 12338

Given numbers has no common factors except 1. So, there LCM is their product i.e 111042

Least Common Multiple of 398,279 with GCF Formula

Least Common Multiple of 398,279 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 398,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,279) = 1

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

GCF(398,279) x common factors =1 x 1 = 1

LCM(398,279) = ( 398 × 279 ) / 1

LCM(398,279) = 111042 / 1

LCM(398,279) = 111042


Lets's calculate GCF of 99,5292

3 99, 5292
3 33, 1764
11, 588

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111042/9

Therefore the LCM of Fractions 398/99,279/5292 is 12338

Greatest Common Factor of 99,5292 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,5292 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 5292

List of positive integer factors of 5292 that divides 5292 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,49,54,63,84,98,108,126,147,189,196,252,294,378,441,588,756,882,1323,1764,2646,5292

Greatest Common Factor

We found the factors 99,5292 . The biggest common factor number is the GCF number.
So the greatest common factor 99,5292 is 9.


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 398/99, 279/5292

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 398/99, 279/5292?

Answer: LCM of Numerators as per given numbers 398/99, 279/5292 is

LCM of Numerators i.e. for 398,279 is 111042

GCF of denominators i.e. for 99,5292 is 9.

Thus, LCM of Fractions is 12338.Finally, LCM of Fractions for 398/99, 279/5292 is 12338.