Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9613/348, 2437/8615 quickly i.e. 23426881 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9613/348, 2437/8615 is 23426881.
LCM(9613/348, 2437/8615) = 23426881
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9613/348,2437/8615
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 9613,2437
Least Common Multiple of Numerators i.e. LCM of 9613,2437 is 23426881.
GCF of Denominators means GCF of 348,8615 as per the given fractions.
GCF of 348,8615 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9613,2437
Given numbers has no common factors except 1. So, there LCM is their product i.e 23426881
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 9613,2437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9613,2437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9613,2437) x common factors =1 x 1 = 1
LCM(9613,2437) = ( 9613 × 2437 ) / 1
LCM(9613,2437) = 23426881 / 1
LCM(9613,2437) = 23426881
Lets's calculate GCF of 348,8615
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23426881/1
Therefore the LCM of Fractions 9613/348,2437/8615 is 23426881
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 8615
List of positive integer factors of 8615 that divides 8615 without a remainder.
1,5,1723,8615
Greatest Common Factor
We found the factors 348,8615 . The biggest common factor number is the GCF number.
So the greatest common factor 348,8615 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 9613/348, 2437/8615?
Answer: LCM of Numerators as per given numbers 9613/348, 2437/8615 is
LCM of Numerators i.e. for 9613,2437 is 23426881
GCF of denominators i.e. for 348,8615 is 1.
Thus, LCM of Fractions is 23426881.Finally, LCM of Fractions for 9613/348, 2437/8615 is 23426881.