Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 287/994, 2593/193 quickly i.e. 744191 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 287/994, 2593/193 is 744191.
LCM(287/994, 2593/193) = 744191
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 287/994,2593/193
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 287,2593
Least Common Multiple of Numerators i.e. LCM of 287,2593 is 744191.
GCF of Denominators means GCF of 994,193 as per the given fractions.
GCF of 994,193 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 287,2593
Given numbers has no common factors except 1. So, there LCM is their product i.e 744191
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 287,2593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,2593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,2593) x common factors =1 x 1 = 1
LCM(287,2593) = ( 287 × 2593 ) / 1
LCM(287,2593) = 744191 / 1
LCM(287,2593) = 744191
Lets's calculate GCF of 994,193
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 744191/1
Therefore the LCM of Fractions 287/994,2593/193 is 744191
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Greatest Common Factor
We found the factors 994,193 . The biggest common factor number is the GCF number.
So the greatest common factor 994,193 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 287/994, 2593/193?
Answer: LCM of Numerators as per given numbers 287/994, 2593/193 is
LCM of Numerators i.e. for 287,2593 is 744191
GCF of denominators i.e. for 994,193 is 1.
Thus, LCM of Fractions is 744191.Finally, LCM of Fractions for 287/994, 2593/193 is 744191.