Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5559/620, 5333/9798 quickly i.e. 29646147/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5559/620, 5333/9798 is 29646147/2.
LCM(5559/620, 5333/9798) = 29646147/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5559/620,5333/9798
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 5559,5333
Least Common Multiple of Numerators i.e. LCM of 5559,5333 is 29646147.
GCF of Denominators means GCF of 620,9798 as per the given fractions.
GCF of 620,9798 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5559,5333
Given numbers has no common factors except 1. So, there LCM is their product i.e 29646147
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 5559,5333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5559,5333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5559,5333) x common factors =1 x 1 = 1
LCM(5559,5333) = ( 5559 × 5333 ) / 1
LCM(5559,5333) = 29646147 / 1
LCM(5559,5333) = 29646147
Lets's calculate GCF of 620,9798
2 | 620, 9798 |
310, 4899 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29646147/2
Therefore the LCM of Fractions 5559/620,5333/9798 is 29646147/2
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 9798
List of positive integer factors of 9798 that divides 9798 without a remainder.
1,2,3,6,23,46,69,71,138,142,213,426,1633,3266,4899,9798
Greatest Common Factor
We found the factors 620,9798 . The biggest common factor number is the GCF number.
So the greatest common factor 620,9798 is 2.
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 5559/620, 5333/9798?
Answer: LCM of Numerators as per given numbers 5559/620, 5333/9798 is
LCM of Numerators i.e. for 5559,5333 is 29646147
GCF of denominators i.e. for 620,9798 is 2.
Thus, LCM of Fractions is 29646147/2.Finally, LCM of Fractions for 5559/620, 5333/9798 is 29646147/2.