Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8675/866, 5113/2341 quickly i.e. 44355275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8675/866, 5113/2341 is 44355275.
LCM(8675/866, 5113/2341) = 44355275
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8675/866,5113/2341
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 8675,5113
Least Common Multiple of Numerators i.e. LCM of 8675,5113 is 44355275.
GCF of Denominators means GCF of 866,2341 as per the given fractions.
GCF of 866,2341 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8675,5113
Given numbers has no common factors except 1. So, there LCM is their product i.e 44355275
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 8675,5113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8675,5113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8675,5113) x common factors =1 x 1 = 1
LCM(8675,5113) = ( 8675 × 5113 ) / 1
LCM(8675,5113) = 44355275 / 1
LCM(8675,5113) = 44355275
Lets's calculate GCF of 866,2341
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44355275/1
Therefore the LCM of Fractions 8675/866,5113/2341 is 44355275
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Factors of 2341
List of positive integer factors of 2341 that divides 2341 without a remainder.
1,2341
Greatest Common Factor
We found the factors 866,2341 . The biggest common factor number is the GCF number.
So the greatest common factor 866,2341 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 8675/866, 5113/2341?
Answer: LCM of Numerators as per given numbers 8675/866, 5113/2341 is
LCM of Numerators i.e. for 8675,5113 is 44355275
GCF of denominators i.e. for 866,2341 is 1.
Thus, LCM of Fractions is 44355275.Finally, LCM of Fractions for 8675/866, 5113/2341 is 44355275.