Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/911, 3096/6431 quickly i.e. 281736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/911, 3096/6431 is 281736.
LCM(91/911, 3096/6431) = 281736
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/911,3096/6431
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 91,3096
Least Common Multiple of Numerators i.e. LCM of 91,3096 is 281736.
GCF of Denominators means GCF of 911,6431 as per the given fractions.
GCF of 911,6431 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,3096
Given numbers has no common factors except 1. So, there LCM is their product i.e 281736
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 91,3096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,3096) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,3096) x common factors =1 x 1 = 1
LCM(91,3096) = ( 91 × 3096 ) / 1
LCM(91,3096) = 281736 / 1
LCM(91,3096) = 281736
Lets's calculate GCF of 911,6431
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281736/1
Therefore the LCM of Fractions 91/911,3096/6431 is 281736
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 6431
List of positive integer factors of 6431 that divides 6431 without a remainder.
1,59,109,6431
Greatest Common Factor
We found the factors 911,6431 . The biggest common factor number is the GCF number.
So the greatest common factor 911,6431 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 91/911, 3096/6431?
Answer: LCM of Numerators as per given numbers 91/911, 3096/6431 is
LCM of Numerators i.e. for 91,3096 is 281736
GCF of denominators i.e. for 911,6431 is 1.
Thus, LCM of Fractions is 281736.Finally, LCM of Fractions for 91/911, 3096/6431 is 281736.