Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 831/50, 991/4081 quickly i.e. 823521 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 831/50, 991/4081 is 823521.
LCM(831/50, 991/4081) = 823521
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 831/50,991/4081
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 831,991
Least Common Multiple of Numerators i.e. LCM of 831,991 is 823521.
GCF of Denominators means GCF of 50,4081 as per the given fractions.
GCF of 50,4081 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 831,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 823521
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 831,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(831,991) x common factors =1 x 1 = 1
LCM(831,991) = ( 831 × 991 ) / 1
LCM(831,991) = 823521 / 1
LCM(831,991) = 823521
Lets's calculate GCF of 50,4081
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 823521/1
Therefore the LCM of Fractions 831/50,991/4081 is 823521
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 4081
List of positive integer factors of 4081 that divides 4081 without a remainder.
1,7,11,53,77,371,583,4081
Greatest Common Factor
We found the factors 50,4081 . The biggest common factor number is the GCF number.
So the greatest common factor 50,4081 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 831/50, 991/4081?
Answer: LCM of Numerators as per given numbers 831/50, 991/4081 is
LCM of Numerators i.e. for 831,991 is 823521
GCF of denominators i.e. for 50,4081 is 1.
Thus, LCM of Fractions is 823521.Finally, LCM of Fractions for 831/50, 991/4081 is 823521.