Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5047/425, 6002/6119 quickly i.e. 30292094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5047/425, 6002/6119 is 30292094.
LCM(5047/425, 6002/6119) = 30292094
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5047/425,6002/6119
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 5047,6002
Least Common Multiple of Numerators i.e. LCM of 5047,6002 is 30292094.
GCF of Denominators means GCF of 425,6119 as per the given fractions.
GCF of 425,6119 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5047,6002
Given numbers has no common factors except 1. So, there LCM is their product i.e 30292094
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 5047,6002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5047,6002) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5047,6002) x common factors =1 x 1 = 1
LCM(5047,6002) = ( 5047 × 6002 ) / 1
LCM(5047,6002) = 30292094 / 1
LCM(5047,6002) = 30292094
Lets's calculate GCF of 425,6119
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30292094/1
Therefore the LCM of Fractions 5047/425,6002/6119 is 30292094
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Factors of 6119
List of positive integer factors of 6119 that divides 6119 without a remainder.
1,29,211,6119
Greatest Common Factor
We found the factors 425,6119 . The biggest common factor number is the GCF number.
So the greatest common factor 425,6119 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 5047/425, 6002/6119?
Answer: LCM of Numerators as per given numbers 5047/425, 6002/6119 is
LCM of Numerators i.e. for 5047,6002 is 30292094
GCF of denominators i.e. for 425,6119 is 1.
Thus, LCM of Fractions is 30292094.Finally, LCM of Fractions for 5047/425, 6002/6119 is 30292094.