Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6181/404, 5093/1593 quickly i.e. 31479833 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6181/404, 5093/1593 is 31479833.
LCM(6181/404, 5093/1593) = 31479833
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6181/404,5093/1593
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 6181,5093
Least Common Multiple of Numerators i.e. LCM of 6181,5093 is 31479833.
GCF of Denominators means GCF of 404,1593 as per the given fractions.
GCF of 404,1593 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6181,5093
Given numbers has no common factors except 1. So, there LCM is their product i.e 31479833
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 6181,5093 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6181,5093) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6181,5093) x common factors =1 x 1 = 1
LCM(6181,5093) = ( 6181 × 5093 ) / 1
LCM(6181,5093) = 31479833 / 1
LCM(6181,5093) = 31479833
Lets's calculate GCF of 404,1593
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31479833/1
Therefore the LCM of Fractions 6181/404,5093/1593 is 31479833
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Factors of 1593
List of positive integer factors of 1593 that divides 1593 without a remainder.
1,3,9,27,59,177,531,1593
Greatest Common Factor
We found the factors 404,1593 . The biggest common factor number is the GCF number.
So the greatest common factor 404,1593 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 6181/404, 5093/1593?
Answer: LCM of Numerators as per given numbers 6181/404, 5093/1593 is
LCM of Numerators i.e. for 6181,5093 is 31479833
GCF of denominators i.e. for 404,1593 is 1.
Thus, LCM of Fractions is 31479833.Finally, LCM of Fractions for 6181/404, 5093/1593 is 31479833.