Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4128/193, 2401/5003 quickly i.e. 9911328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4128/193, 2401/5003 is 9911328.
LCM(4128/193, 2401/5003) = 9911328
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4128/193,2401/5003
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 4128,2401
Least Common Multiple of Numerators i.e. LCM of 4128,2401 is 9911328.
GCF of Denominators means GCF of 193,5003 as per the given fractions.
GCF of 193,5003 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4128,2401
Given numbers has no common factors except 1. So, there LCM is their product i.e 9911328
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 4128,2401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4128,2401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4128,2401) x common factors =1 x 1 = 1
LCM(4128,2401) = ( 4128 × 2401 ) / 1
LCM(4128,2401) = 9911328 / 1
LCM(4128,2401) = 9911328
Lets's calculate GCF of 193,5003
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9911328/1
Therefore the LCM of Fractions 4128/193,2401/5003 is 9911328
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Factors of 5003
List of positive integer factors of 5003 that divides 5003 without a remainder.
1,5003
Greatest Common Factor
We found the factors 193,5003 . The biggest common factor number is the GCF number.
So the greatest common factor 193,5003 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 4128/193, 2401/5003?
Answer: LCM of Numerators as per given numbers 4128/193, 2401/5003 is
LCM of Numerators i.e. for 4128,2401 is 9911328
GCF of denominators i.e. for 193,5003 is 1.
Thus, LCM of Fractions is 9911328.Finally, LCM of Fractions for 4128/193, 2401/5003 is 9911328.