Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/285, 9281/3164 quickly i.e. 529017 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/285, 9281/3164 is 529017.
LCM(57/285, 9281/3164) = 529017
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/285,9281/3164
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 57,9281
Least Common Multiple of Numerators i.e. LCM of 57,9281 is 529017.
GCF of Denominators means GCF of 285,3164 as per the given fractions.
GCF of 285,3164 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,9281
Given numbers has no common factors except 1. So, there LCM is their product i.e 529017
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 57,9281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,9281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,9281) x common factors =1 x 1 = 1
LCM(57,9281) = ( 57 × 9281 ) / 1
LCM(57,9281) = 529017 / 1
LCM(57,9281) = 529017
Lets's calculate GCF of 285,3164
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 529017/1
Therefore the LCM of Fractions 57/285,9281/3164 is 529017
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Factors of 3164
List of positive integer factors of 3164 that divides 3164 without a remainder.
1,2,4,7,14,28,113,226,452,791,1582,3164
Greatest Common Factor
We found the factors 285,3164 . The biggest common factor number is the GCF number.
So the greatest common factor 285,3164 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 57/285, 9281/3164?
Answer: LCM of Numerators as per given numbers 57/285, 9281/3164 is
LCM of Numerators i.e. for 57,9281 is 529017
GCF of denominators i.e. for 285,3164 is 1.
Thus, LCM of Fractions is 529017.Finally, LCM of Fractions for 57/285, 9281/3164 is 529017.