Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/413, 8029/9948 quickly i.e. 128464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/413, 8029/9948 is 128464.
LCM(16/413, 8029/9948) = 128464
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/413,8029/9948
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 16,8029
Least Common Multiple of Numerators i.e. LCM of 16,8029 is 128464.
GCF of Denominators means GCF of 413,9948 as per the given fractions.
GCF of 413,9948 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,8029
Given numbers has no common factors except 1. So, there LCM is their product i.e 128464
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 16,8029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,8029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,8029) x common factors =1 x 1 = 1
LCM(16,8029) = ( 16 × 8029 ) / 1
LCM(16,8029) = 128464 / 1
LCM(16,8029) = 128464
Lets's calculate GCF of 413,9948
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128464/1
Therefore the LCM of Fractions 16/413,8029/9948 is 128464
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Factors of 9948
List of positive integer factors of 9948 that divides 9948 without a remainder.
1,2,3,4,6,12,829,1658,2487,3316,4974,9948
Greatest Common Factor
We found the factors 413,9948 . The biggest common factor number is the GCF number.
So the greatest common factor 413,9948 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 16/413, 8029/9948?
Answer: LCM of Numerators as per given numbers 16/413, 8029/9948 is
LCM of Numerators i.e. for 16,8029 is 128464
GCF of denominators i.e. for 413,9948 is 1.
Thus, LCM of Fractions is 128464.Finally, LCM of Fractions for 16/413, 8029/9948 is 128464.