Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5103/184, 3398/7897 quickly i.e. 17339994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5103/184, 3398/7897 is 17339994.
LCM(5103/184, 3398/7897) = 17339994
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5103/184,3398/7897
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 5103,3398
Least Common Multiple of Numerators i.e. LCM of 5103,3398 is 17339994.
GCF of Denominators means GCF of 184,7897 as per the given fractions.
GCF of 184,7897 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5103,3398
Given numbers has no common factors except 1. So, there LCM is their product i.e 17339994
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 5103,3398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5103,3398) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5103,3398) x common factors =1 x 1 = 1
LCM(5103,3398) = ( 5103 × 3398 ) / 1
LCM(5103,3398) = 17339994 / 1
LCM(5103,3398) = 17339994
Lets's calculate GCF of 184,7897
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17339994/1
Therefore the LCM of Fractions 5103/184,3398/7897 is 17339994
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 7897
List of positive integer factors of 7897 that divides 7897 without a remainder.
1,53,149,7897
Greatest Common Factor
We found the factors 184,7897 . The biggest common factor number is the GCF number.
So the greatest common factor 184,7897 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 5103/184, 3398/7897?
Answer: LCM of Numerators as per given numbers 5103/184, 3398/7897 is
LCM of Numerators i.e. for 5103,3398 is 17339994
GCF of denominators i.e. for 184,7897 is 1.
Thus, LCM of Fractions is 17339994.Finally, LCM of Fractions for 5103/184, 3398/7897 is 17339994.