Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 815/65, 135/8619 quickly i.e. 22005/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 815/65, 135/8619 is 22005/13.
LCM(815/65, 135/8619) = 22005/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 815/65,135/8619
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 815,135
Least Common Multiple of Numerators i.e. LCM of 815,135 is 22005.
GCF of Denominators means GCF of 65,8619 as per the given fractions.
GCF of 65,8619 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 815,135
5 | 815, 135 |
163, 27 |
∴ So the LCM of the given numbers is 5 x 163 x 27 = 22005
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 815,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(815,135) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(815,135) x common factors =5 x 1 = 5
LCM(815,135) = ( 815 × 135 ) / 5
LCM(815,135) = 110025 / 5
LCM(815,135) = 22005
Lets's calculate GCF of 65,8619
13 | 65, 8619 |
5, 663 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22005/13
Therefore the LCM of Fractions 815/65,135/8619 is 22005/13
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 8619
List of positive integer factors of 8619 that divides 8619 without a remainder.
1,3,13,17,39,51,169,221,507,663,2873,8619
Greatest Common Factor
We found the factors 65,8619 . The biggest common factor number is the GCF number.
So the greatest common factor 65,8619 is 13.
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 815/65, 135/8619?
Answer: LCM of Numerators as per given numbers 815/65, 135/8619 is
LCM of Numerators i.e. for 815,135 is 22005
GCF of denominators i.e. for 65,8619 is 13.
Thus, LCM of Fractions is 22005/13.Finally, LCM of Fractions for 815/65, 135/8619 is 22005/13.