Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8230/585, 2593/7259 quickly i.e. 21340390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8230/585, 2593/7259 is 21340390.
LCM(8230/585, 2593/7259) = 21340390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8230/585,2593/7259
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 8230,2593
Least Common Multiple of Numerators i.e. LCM of 8230,2593 is 21340390.
GCF of Denominators means GCF of 585,7259 as per the given fractions.
GCF of 585,7259 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8230,2593
Given numbers has no common factors except 1. So, there LCM is their product i.e 21340390
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 8230,2593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8230,2593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8230,2593) x common factors =1 x 1 = 1
LCM(8230,2593) = ( 8230 × 2593 ) / 1
LCM(8230,2593) = 21340390 / 1
LCM(8230,2593) = 21340390
Lets's calculate GCF of 585,7259
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21340390/1
Therefore the LCM of Fractions 8230/585,2593/7259 is 21340390
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Factors of 7259
List of positive integer factors of 7259 that divides 7259 without a remainder.
1,7,17,61,119,427,1037,7259
Greatest Common Factor
We found the factors 585,7259 . The biggest common factor number is the GCF number.
So the greatest common factor 585,7259 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 8230/585, 2593/7259?
Answer: LCM of Numerators as per given numbers 8230/585, 2593/7259 is
LCM of Numerators i.e. for 8230,2593 is 21340390
GCF of denominators i.e. for 585,7259 is 1.
Thus, LCM of Fractions is 21340390.Finally, LCM of Fractions for 8230/585, 2593/7259 is 21340390.