Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 559/489, 5296/8939 quickly i.e. 2960464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 559/489, 5296/8939 is 2960464.
LCM(559/489, 5296/8939) = 2960464
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 559/489,5296/8939
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 559,5296
Least Common Multiple of Numerators i.e. LCM of 559,5296 is 2960464.
GCF of Denominators means GCF of 489,8939 as per the given fractions.
GCF of 489,8939 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 559,5296
Given numbers has no common factors except 1. So, there LCM is their product i.e 2960464
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 559,5296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,5296) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,5296) x common factors =1 x 1 = 1
LCM(559,5296) = ( 559 × 5296 ) / 1
LCM(559,5296) = 2960464 / 1
LCM(559,5296) = 2960464
Lets's calculate GCF of 489,8939
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2960464/1
Therefore the LCM of Fractions 559/489,5296/8939 is 2960464
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 8939
List of positive integer factors of 8939 that divides 8939 without a remainder.
1,7,1277,8939
Greatest Common Factor
We found the factors 489,8939 . The biggest common factor number is the GCF number.
So the greatest common factor 489,8939 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 559/489, 5296/8939?
Answer: LCM of Numerators as per given numbers 559/489, 5296/8939 is
LCM of Numerators i.e. for 559,5296 is 2960464
GCF of denominators i.e. for 489,8939 is 1.
Thus, LCM of Fractions is 2960464.Finally, LCM of Fractions for 559/489, 5296/8939 is 2960464.