Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/508, 2438/9193 quickly i.e. 31694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/508, 2438/9193 is 31694.
LCM(13/508, 2438/9193) = 31694
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/508,2438/9193
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 13,2438
Least Common Multiple of Numerators i.e. LCM of 13,2438 is 31694.
GCF of Denominators means GCF of 508,9193 as per the given fractions.
GCF of 508,9193 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,2438
Given numbers has no common factors except 1. So, there LCM is their product i.e 31694
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 13,2438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,2438) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,2438) x common factors =1 x 1 = 1
LCM(13,2438) = ( 13 × 2438 ) / 1
LCM(13,2438) = 31694 / 1
LCM(13,2438) = 31694
Lets's calculate GCF of 508,9193
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31694/1
Therefore the LCM of Fractions 13/508,2438/9193 is 31694
Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1,2,4,127,254,508
Factors of 9193
List of positive integer factors of 9193 that divides 9193 without a remainder.
1,29,317,9193
Greatest Common Factor
We found the factors 508,9193 . The biggest common factor number is the GCF number.
So the greatest common factor 508,9193 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 13/508, 2438/9193?
Answer: LCM of Numerators as per given numbers 13/508, 2438/9193 is
LCM of Numerators i.e. for 13,2438 is 31694
GCF of denominators i.e. for 508,9193 is 1.
Thus, LCM of Fractions is 31694.Finally, LCM of Fractions for 13/508, 2438/9193 is 31694.