Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/585, 4727/5269 quickly i.e. 94540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/585, 4727/5269 is 94540.
LCM(20/585, 4727/5269) = 94540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/585,4727/5269
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 20,4727
Least Common Multiple of Numerators i.e. LCM of 20,4727 is 94540.
GCF of Denominators means GCF of 585,5269 as per the given fractions.
GCF of 585,5269 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,4727
Given numbers has no common factors except 1. So, there LCM is their product i.e 94540
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 20,4727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,4727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,4727) x common factors =1 x 1 = 1
LCM(20,4727) = ( 20 × 4727 ) / 1
LCM(20,4727) = 94540 / 1
LCM(20,4727) = 94540
Lets's calculate GCF of 585,5269
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94540/1
Therefore the LCM of Fractions 20/585,4727/5269 is 94540
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 5269
List of positive integer factors of 5269 that divides 5269 without a remainder.
1,11,479,5269
Greatest Common Factor
We found the factors 585,5269 . The biggest common factor number is the GCF number.
So the greatest common factor 585,5269 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 20/585, 4727/5269?
Answer: LCM of Numerators as per given numbers 20/585, 4727/5269 is
LCM of Numerators i.e. for 20,4727 is 94540
GCF of denominators i.e. for 585,5269 is 1.
Thus, LCM of Fractions is 94540.Finally, LCM of Fractions for 20/585, 4727/5269 is 94540.