Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9315/226, 8255/365 quickly i.e. 15379065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9315/226, 8255/365 is 15379065.
LCM(9315/226, 8255/365) = 15379065
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9315/226,8255/365
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 9315,8255
Least Common Multiple of Numerators i.e. LCM of 9315,8255 is 15379065.
GCF of Denominators means GCF of 226,365 as per the given fractions.
GCF of 226,365 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9315,8255
5 | 9315, 8255 |
1863, 1651 |
∴ So the LCM of the given numbers is 5 x 1863 x 1651 = 15379065
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 9315,8255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9315,8255) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(9315,8255) x common factors =5 x 1 = 5
LCM(9315,8255) = ( 9315 × 8255 ) / 5
LCM(9315,8255) = 76895325 / 5
LCM(9315,8255) = 15379065
Lets's calculate GCF of 226,365
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15379065/1
Therefore the LCM of Fractions 9315/226,8255/365 is 15379065
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Greatest Common Factor
We found the factors 226,365 . The biggest common factor number is the GCF number.
So the greatest common factor 226,365 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 9315/226, 8255/365?
Answer: LCM of Numerators as per given numbers 9315/226, 8255/365 is
LCM of Numerators i.e. for 9315,8255 is 15379065
GCF of denominators i.e. for 226,365 is 1.
Thus, LCM of Fractions is 15379065.Finally, LCM of Fractions for 9315/226, 8255/365 is 15379065.