Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 159/339, 4698/5728 quickly i.e. 248994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 159/339, 4698/5728 is 248994.
LCM(159/339, 4698/5728) = 248994
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 159/339,4698/5728
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 159,4698
Least Common Multiple of Numerators i.e. LCM of 159,4698 is 248994.
GCF of Denominators means GCF of 339,5728 as per the given fractions.
GCF of 339,5728 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 159,4698
3 | 159, 4698 |
53, 1566 |
∴ So the LCM of the given numbers is 3 x 53 x 1566 = 248994
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 159,4698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,4698) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,4698) x common factors =3 x 1 = 3
LCM(159,4698) = ( 159 × 4698 ) / 3
LCM(159,4698) = 746982 / 3
LCM(159,4698) = 248994
Lets's calculate GCF of 339,5728
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248994/1
Therefore the LCM of Fractions 159/339,4698/5728 is 248994
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Factors of 5728
List of positive integer factors of 5728 that divides 5728 without a remainder.
1,2,4,8,16,32,179,358,716,1432,2864,5728
Greatest Common Factor
We found the factors 339,5728 . The biggest common factor number is the GCF number.
So the greatest common factor 339,5728 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 159/339, 4698/5728?
Answer: LCM of Numerators as per given numbers 159/339, 4698/5728 is
LCM of Numerators i.e. for 159,4698 is 248994
GCF of denominators i.e. for 339,5728 is 1.
Thus, LCM of Fractions is 248994.Finally, LCM of Fractions for 159/339, 4698/5728 is 248994.