Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 595/18, 135/9943 quickly i.e. 16065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 595/18, 135/9943 is 16065.
LCM(595/18, 135/9943) = 16065
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 595/18,135/9943
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 595,135
Least Common Multiple of Numerators i.e. LCM of 595,135 is 16065.
GCF of Denominators means GCF of 18,9943 as per the given fractions.
GCF of 18,9943 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 595,135
5 | 595, 135 |
119, 27 |
∴ So the LCM of the given numbers is 5 x 119 x 27 = 16065
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 595,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,135) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(595,135) x common factors =5 x 1 = 5
LCM(595,135) = ( 595 × 135 ) / 5
LCM(595,135) = 80325 / 5
LCM(595,135) = 16065
Lets's calculate GCF of 18,9943
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16065/1
Therefore the LCM of Fractions 595/18,135/9943 is 16065
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 9943
List of positive integer factors of 9943 that divides 9943 without a remainder.
1,61,163,9943
Greatest Common Factor
We found the factors 18,9943 . The biggest common factor number is the GCF number.
So the greatest common factor 18,9943 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 595/18, 135/9943?
Answer: LCM of Numerators as per given numbers 595/18, 135/9943 is
LCM of Numerators i.e. for 595,135 is 16065
GCF of denominators i.e. for 18,9943 is 1.
Thus, LCM of Fractions is 16065.Finally, LCM of Fractions for 595/18, 135/9943 is 16065.