Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 331/634, 1013/8741 quickly i.e. 335303 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 331/634, 1013/8741 is 335303.
LCM(331/634, 1013/8741) = 335303
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 331/634,1013/8741
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 331,1013
Least Common Multiple of Numerators i.e. LCM of 331,1013 is 335303.
GCF of Denominators means GCF of 634,8741 as per the given fractions.
GCF of 634,8741 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 331,1013
Given numbers has no common factors except 1. So, there LCM is their product i.e 335303
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 331,1013 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,1013) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,1013) x common factors =1 x 1 = 1
LCM(331,1013) = ( 331 × 1013 ) / 1
LCM(331,1013) = 335303 / 1
LCM(331,1013) = 335303
Lets's calculate GCF of 634,8741
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 335303/1
Therefore the LCM of Fractions 331/634,1013/8741 is 335303
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Factors of 8741
List of positive integer factors of 8741 that divides 8741 without a remainder.
1,8741
Greatest Common Factor
We found the factors 634,8741 . The biggest common factor number is the GCF number.
So the greatest common factor 634,8741 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 331/634, 1013/8741?
Answer: LCM of Numerators as per given numbers 331/634, 1013/8741 is
LCM of Numerators i.e. for 331,1013 is 335303
GCF of denominators i.e. for 634,8741 is 1.
Thus, LCM of Fractions is 335303.Finally, LCM of Fractions for 331/634, 1013/8741 is 335303.