Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 839/911, 8214/991 quickly i.e. 6891546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 839/911, 8214/991 is 6891546.
LCM(839/911, 8214/991) = 6891546
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 839/911,8214/991
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 839,8214
Least Common Multiple of Numerators i.e. LCM of 839,8214 is 6891546.
GCF of Denominators means GCF of 911,991 as per the given fractions.
GCF of 911,991 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 839,8214
Given numbers has no common factors except 1. So, there LCM is their product i.e 6891546
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 839,8214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,8214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,8214) x common factors =1 x 1 = 1
LCM(839,8214) = ( 839 × 8214 ) / 1
LCM(839,8214) = 6891546 / 1
LCM(839,8214) = 6891546
Lets's calculate GCF of 911,991
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6891546/1
Therefore the LCM of Fractions 839/911,8214/991 is 6891546
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Greatest Common Factor
We found the factors 911,991 . The biggest common factor number is the GCF number.
So the greatest common factor 911,991 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 839/911, 8214/991?
Answer: LCM of Numerators as per given numbers 839/911, 8214/991 is
LCM of Numerators i.e. for 839,8214 is 6891546
GCF of denominators i.e. for 911,991 is 1.
Thus, LCM of Fractions is 6891546.Finally, LCM of Fractions for 839/911, 8214/991 is 6891546.