Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7251/790, 8332/1317 quickly i.e. 60415332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7251/790, 8332/1317 is 60415332.
LCM(7251/790, 8332/1317) = 60415332
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7251/790,8332/1317
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 7251,8332
Least Common Multiple of Numerators i.e. LCM of 7251,8332 is 60415332.
GCF of Denominators means GCF of 790,1317 as per the given fractions.
GCF of 790,1317 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7251,8332
Given numbers has no common factors except 1. So, there LCM is their product i.e 60415332
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 7251,8332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7251,8332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7251,8332) x common factors =1 x 1 = 1
LCM(7251,8332) = ( 7251 × 8332 ) / 1
LCM(7251,8332) = 60415332 / 1
LCM(7251,8332) = 60415332
Lets's calculate GCF of 790,1317
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60415332/1
Therefore the LCM of Fractions 7251/790,8332/1317 is 60415332
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 1317
List of positive integer factors of 1317 that divides 1317 without a remainder.
1,3,439,1317
Greatest Common Factor
We found the factors 790,1317 . The biggest common factor number is the GCF number.
So the greatest common factor 790,1317 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 7251/790, 8332/1317?
Answer: LCM of Numerators as per given numbers 7251/790, 8332/1317 is
LCM of Numerators i.e. for 7251,8332 is 60415332
GCF of denominators i.e. for 790,1317 is 1.
Thus, LCM of Fractions is 60415332.Finally, LCM of Fractions for 7251/790, 8332/1317 is 60415332.