Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9603/392, 9848/4785 quickly i.e. 94570344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9603/392, 9848/4785 is 94570344.
LCM(9603/392, 9848/4785) = 94570344
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9603/392,9848/4785
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 9603,9848
Least Common Multiple of Numerators i.e. LCM of 9603,9848 is 94570344.
GCF of Denominators means GCF of 392,4785 as per the given fractions.
GCF of 392,4785 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9603,9848
Given numbers has no common factors except 1. So, there LCM is their product i.e 94570344
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 9603,9848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9603,9848) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9603,9848) x common factors =1 x 1 = 1
LCM(9603,9848) = ( 9603 × 9848 ) / 1
LCM(9603,9848) = 94570344 / 1
LCM(9603,9848) = 94570344
Lets's calculate GCF of 392,4785
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94570344/1
Therefore the LCM of Fractions 9603/392,9848/4785 is 94570344
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Factors of 4785
List of positive integer factors of 4785 that divides 4785 without a remainder.
1,3,5,11,15,29,33,55,87,145,165,319,435,957,1595,4785
Greatest Common Factor
We found the factors 392,4785 . The biggest common factor number is the GCF number.
So the greatest common factor 392,4785 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 9603/392, 9848/4785?
Answer: LCM of Numerators as per given numbers 9603/392, 9848/4785 is
LCM of Numerators i.e. for 9603,9848 is 94570344
GCF of denominators i.e. for 392,4785 is 1.
Thus, LCM of Fractions is 94570344.Finally, LCM of Fractions for 9603/392, 9848/4785 is 94570344.