Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 583/998, 9438/5293 quickly i.e. 500214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 583/998, 9438/5293 is 500214.
LCM(583/998, 9438/5293) = 500214
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 583/998,9438/5293
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 583,9438
Least Common Multiple of Numerators i.e. LCM of 583,9438 is 500214.
GCF of Denominators means GCF of 998,5293 as per the given fractions.
GCF of 998,5293 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 583,9438
11 | 583, 9438 |
53, 858 |
∴ So the LCM of the given numbers is 11 x 53 x 858 = 500214
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 583,9438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,9438) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(583,9438) x common factors =11 x 1 = 11
LCM(583,9438) = ( 583 × 9438 ) / 11
LCM(583,9438) = 5502354 / 11
LCM(583,9438) = 500214
Lets's calculate GCF of 998,5293
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 500214/1
Therefore the LCM of Fractions 583/998,9438/5293 is 500214
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Factors of 5293
List of positive integer factors of 5293 that divides 5293 without a remainder.
1,67,79,5293
Greatest Common Factor
We found the factors 998,5293 . The biggest common factor number is the GCF number.
So the greatest common factor 998,5293 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 583/998, 9438/5293?
Answer: LCM of Numerators as per given numbers 583/998, 9438/5293 is
LCM of Numerators i.e. for 583,9438 is 500214
GCF of denominators i.e. for 998,5293 is 1.
Thus, LCM of Fractions is 500214.Finally, LCM of Fractions for 583/998, 9438/5293 is 500214.