Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7115/779, 8105/5777 quickly i.e. 11533415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7115/779, 8105/5777 is 11533415.
LCM(7115/779, 8105/5777) = 11533415
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7115/779,8105/5777
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 7115,8105
Least Common Multiple of Numerators i.e. LCM of 7115,8105 is 11533415.
GCF of Denominators means GCF of 779,5777 as per the given fractions.
GCF of 779,5777 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7115,8105
5 | 7115, 8105 |
1423, 1621 |
∴ So the LCM of the given numbers is 5 x 1423 x 1621 = 11533415
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 7115,8105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7115,8105) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(7115,8105) x common factors =5 x 1 = 5
LCM(7115,8105) = ( 7115 × 8105 ) / 5
LCM(7115,8105) = 57667075 / 5
LCM(7115,8105) = 11533415
Lets's calculate GCF of 779,5777
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11533415/1
Therefore the LCM of Fractions 7115/779,8105/5777 is 11533415
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 5777
List of positive integer factors of 5777 that divides 5777 without a remainder.
1,53,109,5777
Greatest Common Factor
We found the factors 779,5777 . The biggest common factor number is the GCF number.
So the greatest common factor 779,5777 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 7115/779, 8105/5777?
Answer: LCM of Numerators as per given numbers 7115/779, 8105/5777 is
LCM of Numerators i.e. for 7115,8105 is 11533415
GCF of denominators i.e. for 779,5777 is 1.
Thus, LCM of Fractions is 11533415.Finally, LCM of Fractions for 7115/779, 8105/5777 is 11533415.