Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 599/138, 5103/1197 quickly i.e. 1018899 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 599/138, 5103/1197 is 1018899.
LCM(599/138, 5103/1197) = 1018899
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 599/138,5103/1197
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 599,5103
Least Common Multiple of Numerators i.e. LCM of 599,5103 is 3056697.
GCF of Denominators means GCF of 138,1197 as per the given fractions.
GCF of 138,1197 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 599,5103
Given numbers has no common factors except 1. So, there LCM is their product i.e 3056697
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 599,5103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,5103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,5103) x common factors =1 x 1 = 1
LCM(599,5103) = ( 599 × 5103 ) / 1
LCM(599,5103) = 3056697 / 1
LCM(599,5103) = 3056697
Lets's calculate GCF of 138,1197
3 | 138, 1197 |
46, 399 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3056697/3
Therefore the LCM of Fractions 599/138,5103/1197 is 1018899
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 1197
List of positive integer factors of 1197 that divides 1197 without a remainder.
1,3,7,9,19,21,57,63,133,171,399,1197
Greatest Common Factor
We found the factors 138,1197 . The biggest common factor number is the GCF number.
So the greatest common factor 138,1197 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 599/138, 5103/1197?
Answer: LCM of Numerators as per given numbers 599/138, 5103/1197 is
LCM of Numerators i.e. for 599,5103 is 3056697
GCF of denominators i.e. for 138,1197 is 3.
Thus, LCM of Fractions is 1018899.Finally, LCM of Fractions for 599/138, 5103/1197 is 1018899.