Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4713/590, 4688/9599 quickly i.e. 22094544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4713/590, 4688/9599 is 22094544.
LCM(4713/590, 4688/9599) = 22094544
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4713/590,4688/9599
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 4713,4688
Least Common Multiple of Numerators i.e. LCM of 4713,4688 is 22094544.
GCF of Denominators means GCF of 590,9599 as per the given fractions.
GCF of 590,9599 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4713,4688
Given numbers has no common factors except 1. So, there LCM is their product i.e 22094544
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 4713,4688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4713,4688) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4713,4688) x common factors =1 x 1 = 1
LCM(4713,4688) = ( 4713 × 4688 ) / 1
LCM(4713,4688) = 22094544 / 1
LCM(4713,4688) = 22094544
Lets's calculate GCF of 590,9599
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22094544/1
Therefore the LCM of Fractions 4713/590,4688/9599 is 22094544
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Factors of 9599
List of positive integer factors of 9599 that divides 9599 without a remainder.
1,29,331,9599
Greatest Common Factor
We found the factors 590,9599 . The biggest common factor number is the GCF number.
So the greatest common factor 590,9599 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 4713/590, 4688/9599?
Answer: LCM of Numerators as per given numbers 4713/590, 4688/9599 is
LCM of Numerators i.e. for 4713,4688 is 22094544
GCF of denominators i.e. for 590,9599 is 1.
Thus, LCM of Fractions is 22094544.Finally, LCM of Fractions for 4713/590, 4688/9599 is 22094544.