Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1317/993, 7987/103 quickly i.e. 10518879 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1317/993, 7987/103 is 10518879.
LCM(1317/993, 7987/103) = 10518879
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1317/993,7987/103
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 1317,7987
Least Common Multiple of Numerators i.e. LCM of 1317,7987 is 10518879.
GCF of Denominators means GCF of 993,103 as per the given fractions.
GCF of 993,103 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1317,7987
Given numbers has no common factors except 1. So, there LCM is their product i.e 10518879
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 1317,7987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1317,7987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1317,7987) x common factors =1 x 1 = 1
LCM(1317,7987) = ( 1317 × 7987 ) / 1
LCM(1317,7987) = 10518879 / 1
LCM(1317,7987) = 10518879
Lets's calculate GCF of 993,103
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10518879/1
Therefore the LCM of Fractions 1317/993,7987/103 is 10518879
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Greatest Common Factor
We found the factors 993,103 . The biggest common factor number is the GCF number.
So the greatest common factor 993,103 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 1317/993, 7987/103?
Answer: LCM of Numerators as per given numbers 1317/993, 7987/103 is
LCM of Numerators i.e. for 1317,7987 is 10518879
GCF of denominators i.e. for 993,103 is 1.
Thus, LCM of Fractions is 10518879.Finally, LCM of Fractions for 1317/993, 7987/103 is 10518879.