Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/302, 57/519, 529/183 quickly i.e. 2683617 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/302, 57/519, 529/183 is 2683617.
LCM(89/302, 57/519, 529/183) = 2683617
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/302,57/519,529/183
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 89,57,529
Least Common Multiple of Numerators i.e. LCM of 89,57,529 is 2683617.
GCF of Denominators means GCF of 302,519,183 as per the given fractions.
GCF of 302,519,183 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,57,529
Given numbers has no common factors except 1. So, there LCM is their product i.e 2683617
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 89,57,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,57,529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,57,529) x common factors =1 x 1 = 1
LCM(89,57,529) = ( 89 × 57 × 529 ) / 1
LCM(89,57,529) = 2683617 / 1
LCM(89,57,529) = 2683617
Lets's calculate GCF of 302,519,183
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2683617/1
Therefore the LCM of Fractions 89/302,57/519,529/183 is 2683617
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Greatest Common Factor
We found the factors 302,519,183 . The biggest common factor number is the GCF number.
So the greatest common factor 302,519,183 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 89/302, 57/519, 529/183?
Answer: LCM of Numerators as per given numbers 89/302, 57/519, 529/183 is
LCM of Numerators i.e. for 89,57,529 is 2683617
GCF of denominators i.e. for 302,519,183 is 1.
Thus, LCM of Fractions is 2683617.Finally, LCM of Fractions for 89/302, 57/519, 529/183 is 2683617.