Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9366/791, 8061/8498 quickly i.e. 3595206 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9366/791, 8061/8498 is 3595206.
LCM(9366/791, 8061/8498) = 3595206
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9366/791,8061/8498
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 9366,8061
Least Common Multiple of Numerators i.e. LCM of 9366,8061 is 25166442.
GCF of Denominators means GCF of 791,8498 as per the given fractions.
GCF of 791,8498 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9366,8061
3 | 9366, 8061 |
3122, 2687 |
∴ So the LCM of the given numbers is 3 x 3122 x 2687 = 25166442
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 9366,8061 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9366,8061) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(9366,8061) x common factors =3 x 1 = 3
LCM(9366,8061) = ( 9366 × 8061 ) / 3
LCM(9366,8061) = 75499326 / 3
LCM(9366,8061) = 25166442
Lets's calculate GCF of 791,8498
7 | 791, 8498 |
113, 1214 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25166442/7
Therefore the LCM of Fractions 9366/791,8061/8498 is 3595206
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 8498
List of positive integer factors of 8498 that divides 8498 without a remainder.
1,2,7,14,607,1214,4249,8498
Greatest Common Factor
We found the factors 791,8498 . The biggest common factor number is the GCF number.
So the greatest common factor 791,8498 is 7.
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 9366/791, 8061/8498?
Answer: LCM of Numerators as per given numbers 9366/791, 8061/8498 is
LCM of Numerators i.e. for 9366,8061 is 25166442
GCF of denominators i.e. for 791,8498 is 7.
Thus, LCM of Fractions is 3595206.Finally, LCM of Fractions for 9366/791, 8061/8498 is 3595206.