Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1323/259, 5843/5395 quickly i.e. 7730289 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1323/259, 5843/5395 is 7730289.
LCM(1323/259, 5843/5395) = 7730289
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1323/259,5843/5395
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 1323,5843
Least Common Multiple of Numerators i.e. LCM of 1323,5843 is 7730289.
GCF of Denominators means GCF of 259,5395 as per the given fractions.
GCF of 259,5395 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1323,5843
Given numbers has no common factors except 1. So, there LCM is their product i.e 7730289
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 1323,5843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1323,5843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1323,5843) x common factors =1 x 1 = 1
LCM(1323,5843) = ( 1323 × 5843 ) / 1
LCM(1323,5843) = 7730289 / 1
LCM(1323,5843) = 7730289
Lets's calculate GCF of 259,5395
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7730289/1
Therefore the LCM of Fractions 1323/259,5843/5395 is 7730289
Factors of 259
List of positive integer factors of 259 that divides 259 without a remainder.
1,7,37,259
Factors of 5395
List of positive integer factors of 5395 that divides 5395 without a remainder.
1,5,13,65,83,415,1079,5395
Greatest Common Factor
We found the factors 259,5395 . The biggest common factor number is the GCF number.
So the greatest common factor 259,5395 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 1323/259, 5843/5395?
Answer: LCM of Numerators as per given numbers 1323/259, 5843/5395 is
LCM of Numerators i.e. for 1323,5843 is 7730289
GCF of denominators i.e. for 259,5395 is 1.
Thus, LCM of Fractions is 7730289.Finally, LCM of Fractions for 1323/259, 5843/5395 is 7730289.