Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 991/83, 985/4031 quickly i.e. 976135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 991/83, 985/4031 is 976135.
LCM(991/83, 985/4031) = 976135
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 991/83,985/4031
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 991,985
Least Common Multiple of Numerators i.e. LCM of 991,985 is 976135.
GCF of Denominators means GCF of 83,4031 as per the given fractions.
GCF of 83,4031 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 991,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 976135
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 991,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,985) x common factors =1 x 1 = 1
LCM(991,985) = ( 991 × 985 ) / 1
LCM(991,985) = 976135 / 1
LCM(991,985) = 976135
Lets's calculate GCF of 83,4031
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 976135/1
Therefore the LCM of Fractions 991/83,985/4031 is 976135
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 4031
List of positive integer factors of 4031 that divides 4031 without a remainder.
1,29,139,4031
Greatest Common Factor
We found the factors 83,4031 . The biggest common factor number is the GCF number.
So the greatest common factor 83,4031 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 991/83, 985/4031?
Answer: LCM of Numerators as per given numbers 991/83, 985/4031 is
LCM of Numerators i.e. for 991,985 is 976135
GCF of denominators i.e. for 83,4031 is 1.
Thus, LCM of Fractions is 976135.Finally, LCM of Fractions for 991/83, 985/4031 is 976135.