Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/588, 8115/4983 quickly i.e. 5410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/588, 8115/4983 is 5410.
LCM(10/588, 8115/4983) = 5410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/588,8115/4983
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 10,8115
Least Common Multiple of Numerators i.e. LCM of 10,8115 is 16230.
GCF of Denominators means GCF of 588,4983 as per the given fractions.
GCF of 588,4983 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,8115
5 | 10, 8115 |
2, 1623 |
∴ So the LCM of the given numbers is 5 x 2 x 1623 = 16230
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 10,8115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,8115) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(10,8115) x common factors =5 x 1 = 5
LCM(10,8115) = ( 10 × 8115 ) / 5
LCM(10,8115) = 81150 / 5
LCM(10,8115) = 16230
Lets's calculate GCF of 588,4983
3 | 588, 4983 |
196, 1661 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16230/3
Therefore the LCM of Fractions 10/588,8115/4983 is 5410
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 4983
List of positive integer factors of 4983 that divides 4983 without a remainder.
1,3,11,33,151,453,1661,4983
Greatest Common Factor
We found the factors 588,4983 . The biggest common factor number is the GCF number.
So the greatest common factor 588,4983 is 3.
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 10/588, 8115/4983?
Answer: LCM of Numerators as per given numbers 10/588, 8115/4983 is
LCM of Numerators i.e. for 10,8115 is 16230
GCF of denominators i.e. for 588,4983 is 3.
Thus, LCM of Fractions is 5410.Finally, LCM of Fractions for 10/588, 8115/4983 is 5410.