Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 231/16, 193/4429 quickly i.e. 44583 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 231/16, 193/4429 is 44583.
LCM(231/16, 193/4429) = 44583
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 231/16,193/4429
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 231,193
Least Common Multiple of Numerators i.e. LCM of 231,193 is 44583.
GCF of Denominators means GCF of 16,4429 as per the given fractions.
GCF of 16,4429 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 231,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 44583
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 231,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(231,193) x common factors =1 x 1 = 1
LCM(231,193) = ( 231 × 193 ) / 1
LCM(231,193) = 44583 / 1
LCM(231,193) = 44583
Lets's calculate GCF of 16,4429
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44583/1
Therefore the LCM of Fractions 231/16,193/4429 is 44583
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 4429
List of positive integer factors of 4429 that divides 4429 without a remainder.
1,43,103,4429
Greatest Common Factor
We found the factors 16,4429 . The biggest common factor number is the GCF number.
So the greatest common factor 16,4429 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 231/16, 193/4429?
Answer: LCM of Numerators as per given numbers 231/16, 193/4429 is
LCM of Numerators i.e. for 231,193 is 44583
GCF of denominators i.e. for 16,4429 is 1.
Thus, LCM of Fractions is 44583.Finally, LCM of Fractions for 231/16, 193/4429 is 44583.