Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 206/205, 9566/7993 quickly i.e. 985298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 206/205, 9566/7993 is 985298.
LCM(206/205, 9566/7993) = 985298
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 206/205,9566/7993
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 206,9566
Least Common Multiple of Numerators i.e. LCM of 206,9566 is 985298.
GCF of Denominators means GCF of 205,7993 as per the given fractions.
GCF of 205,7993 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 206,9566
2 | 206, 9566 |
103, 4783 |
∴ So the LCM of the given numbers is 2 x 103 x 4783 = 985298
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 206,9566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,9566) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,9566) x common factors =2 x 1 = 2
LCM(206,9566) = ( 206 × 9566 ) / 2
LCM(206,9566) = 1970596 / 2
LCM(206,9566) = 985298
Lets's calculate GCF of 205,7993
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 985298/1
Therefore the LCM of Fractions 206/205,9566/7993 is 985298
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Factors of 7993
List of positive integer factors of 7993 that divides 7993 without a remainder.
1,7993
Greatest Common Factor
We found the factors 205,7993 . The biggest common factor number is the GCF number.
So the greatest common factor 205,7993 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 206/205, 9566/7993?
Answer: LCM of Numerators as per given numbers 206/205, 9566/7993 is
LCM of Numerators i.e. for 206,9566 is 985298
GCF of denominators i.e. for 205,7993 is 1.
Thus, LCM of Fractions is 985298.Finally, LCM of Fractions for 206/205, 9566/7993 is 985298.