Least Common Multiple of 338/13, 992/5200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 338/13, 992/5200 quickly i.e. 12896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 338/13, 992/5200 is 12896.

LCM(338/13, 992/5200) = 12896

LCM of 338/13, 992/5200

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 338/13,992/5200

Given numbers are 338/13,992/5200

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 338,992

Least Common Multiple of Numerators i.e. LCM of 338,992 is 167648.

GCF of Denominators means GCF of 13,5200 as per the given fractions.

GCF of 13,5200 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 338,992

LCM of Fractions 338/13,992/5200 is 12896

2 338, 992
169, 496

∴ So the LCM of the given numbers is 2 x 169 x 496 = 167648

Least Common Multiple of 338,992 with GCF Formula

Least Common Multiple of 338,992 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 338,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,992) = 2

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

GCF(338,992) x common factors =2 x 1 = 2

LCM(338,992) = ( 338 × 992 ) / 2

LCM(338,992) = 335296 / 2

LCM(338,992) = 167648


Lets's calculate GCF of 13,5200

13 13, 5200
1, 400

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167648/13

Therefore the LCM of Fractions 338/13,992/5200 is 12896

Greatest Common Factor of 13,5200 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,5200 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 5200

List of positive integer factors of 5200 that divides 5200 without a remainder.

1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,80,100,104,130,200,208,260,325,400,520,650,1040,1300,2600,5200

Greatest Common Factor

We found the factors 13,5200 . The biggest common factor number is the GCF number.
So the greatest common factor 13,5200 is 13.


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 338/13, 992/5200

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 338/13, 992/5200?

Answer: LCM of Numerators as per given numbers 338/13, 992/5200 is

LCM of Numerators i.e. for 338,992 is 167648

GCF of denominators i.e. for 13,5200 is 13.

Thus, LCM of Fractions is 12896.Finally, LCM of Fractions for 338/13, 992/5200 is 12896.