Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7502/517, 8453/7914 quickly i.e. 63414406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7502/517, 8453/7914 is 63414406.
LCM(7502/517, 8453/7914) = 63414406
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7502/517,8453/7914
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 7502,8453
Least Common Multiple of Numerators i.e. LCM of 7502,8453 is 63414406.
GCF of Denominators means GCF of 517,7914 as per the given fractions.
GCF of 517,7914 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7502,8453
Given numbers has no common factors except 1. So, there LCM is their product i.e 63414406
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 7502,8453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7502,8453) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7502,8453) x common factors =1 x 1 = 1
LCM(7502,8453) = ( 7502 × 8453 ) / 1
LCM(7502,8453) = 63414406 / 1
LCM(7502,8453) = 63414406
Lets's calculate GCF of 517,7914
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63414406/1
Therefore the LCM of Fractions 7502/517,8453/7914 is 63414406
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Factors of 7914
List of positive integer factors of 7914 that divides 7914 without a remainder.
1,2,3,6,1319,2638,3957,7914
Greatest Common Factor
We found the factors 517,7914 . The biggest common factor number is the GCF number.
So the greatest common factor 517,7914 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 7502/517, 8453/7914?
Answer: LCM of Numerators as per given numbers 7502/517, 8453/7914 is
LCM of Numerators i.e. for 7502,8453 is 63414406
GCF of denominators i.e. for 517,7914 is 1.
Thus, LCM of Fractions is 63414406.Finally, LCM of Fractions for 7502/517, 8453/7914 is 63414406.