Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 340/589, 5723/500 quickly i.e. 1945820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 340/589, 5723/500 is 1945820.
LCM(340/589, 5723/500) = 1945820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 340/589,5723/500
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 340,5723
Least Common Multiple of Numerators i.e. LCM of 340,5723 is 1945820.
GCF of Denominators means GCF of 589,500 as per the given fractions.
GCF of 589,500 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 340,5723
Given numbers has no common factors except 1. So, there LCM is their product i.e 1945820
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 340,5723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,5723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(340,5723) x common factors =1 x 1 = 1
LCM(340,5723) = ( 340 × 5723 ) / 1
LCM(340,5723) = 1945820 / 1
LCM(340,5723) = 1945820
Lets's calculate GCF of 589,500
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1945820/1
Therefore the LCM of Fractions 340/589,5723/500 is 1945820
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 589,500 . The biggest common factor number is the GCF number.
So the greatest common factor 589,500 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 340/589, 5723/500?
Answer: LCM of Numerators as per given numbers 340/589, 5723/500 is
LCM of Numerators i.e. for 340,5723 is 1945820
GCF of denominators i.e. for 589,500 is 1.
Thus, LCM of Fractions is 1945820.Finally, LCM of Fractions for 340/589, 5723/500 is 1945820.