Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 367/393, 514/593 quickly i.e. 188638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 367/393, 514/593 is 188638.
LCM(367/393, 514/593) = 188638
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 367/393,514/593
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 367,514
Least Common Multiple of Numerators i.e. LCM of 367,514 is 188638.
GCF of Denominators means GCF of 393,593 as per the given fractions.
GCF of 393,593 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 367,514
Given numbers has no common factors except 1. So, there LCM is their product i.e 188638
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 367,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,514) x common factors =1 x 1 = 1
LCM(367,514) = ( 367 × 514 ) / 1
LCM(367,514) = 188638 / 1
LCM(367,514) = 188638
Lets's calculate GCF of 393,593
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188638/1
Therefore the LCM of Fractions 367/393,514/593 is 188638
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
Greatest Common Factor
We found the factors 393,593 . The biggest common factor number is the GCF number.
So the greatest common factor 393,593 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 367/393, 514/593?
Answer: LCM of Numerators as per given numbers 367/393, 514/593 is
LCM of Numerators i.e. for 367,514 is 188638
GCF of denominators i.e. for 393,593 is 1.
Thus, LCM of Fractions is 188638.Finally, LCM of Fractions for 367/393, 514/593 is 188638.