Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8404/507, 5013/796 quickly i.e. 42129252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8404/507, 5013/796 is 42129252.
LCM(8404/507, 5013/796) = 42129252
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8404/507,5013/796
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 8404,5013
Least Common Multiple of Numerators i.e. LCM of 8404,5013 is 42129252.
GCF of Denominators means GCF of 507,796 as per the given fractions.
GCF of 507,796 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8404,5013
Given numbers has no common factors except 1. So, there LCM is their product i.e 42129252
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 8404,5013 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8404,5013) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8404,5013) x common factors =1 x 1 = 1
LCM(8404,5013) = ( 8404 × 5013 ) / 1
LCM(8404,5013) = 42129252 / 1
LCM(8404,5013) = 42129252
Lets's calculate GCF of 507,796
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42129252/1
Therefore the LCM of Fractions 8404/507,5013/796 is 42129252
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Greatest Common Factor
We found the factors 507,796 . The biggest common factor number is the GCF number.
So the greatest common factor 507,796 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 8404/507, 5013/796?
Answer: LCM of Numerators as per given numbers 8404/507, 5013/796 is
LCM of Numerators i.e. for 8404,5013 is 42129252
GCF of denominators i.e. for 507,796 is 1.
Thus, LCM of Fractions is 42129252.Finally, LCM of Fractions for 8404/507, 5013/796 is 42129252.