Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/593, 9215/3404 quickly i.e. 165870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/593, 9215/3404 is 165870.
LCM(18/593, 9215/3404) = 165870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/593,9215/3404
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 18,9215
Least Common Multiple of Numerators i.e. LCM of 18,9215 is 165870.
GCF of Denominators means GCF of 593,3404 as per the given fractions.
GCF of 593,3404 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,9215
Given numbers has no common factors except 1. So, there LCM is their product i.e 165870
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 18,9215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,9215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,9215) x common factors =1 x 1 = 1
LCM(18,9215) = ( 18 × 9215 ) / 1
LCM(18,9215) = 165870 / 1
LCM(18,9215) = 165870
Lets's calculate GCF of 593,3404
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165870/1
Therefore the LCM of Fractions 18/593,9215/3404 is 165870
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
Factors of 3404
List of positive integer factors of 3404 that divides 3404 without a remainder.
1,2,4,23,37,46,74,92,148,851,1702,3404
Greatest Common Factor
We found the factors 593,3404 . The biggest common factor number is the GCF number.
So the greatest common factor 593,3404 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 18/593, 9215/3404?
Answer: LCM of Numerators as per given numbers 18/593, 9215/3404 is
LCM of Numerators i.e. for 18,9215 is 165870
GCF of denominators i.e. for 593,3404 is 1.
Thus, LCM of Fractions is 165870.Finally, LCM of Fractions for 18/593, 9215/3404 is 165870.