Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9463/306, 9333/6295 quickly i.e. 88318179 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9463/306, 9333/6295 is 88318179.
LCM(9463/306, 9333/6295) = 88318179
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9463/306,9333/6295
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 9463,9333
Least Common Multiple of Numerators i.e. LCM of 9463,9333 is 88318179.
GCF of Denominators means GCF of 306,6295 as per the given fractions.
GCF of 306,6295 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9463,9333
Given numbers has no common factors except 1. So, there LCM is their product i.e 88318179
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 9463,9333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9463,9333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9463,9333) x common factors =1 x 1 = 1
LCM(9463,9333) = ( 9463 × 9333 ) / 1
LCM(9463,9333) = 88318179 / 1
LCM(9463,9333) = 88318179
Lets's calculate GCF of 306,6295
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88318179/1
Therefore the LCM of Fractions 9463/306,9333/6295 is 88318179
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Factors of 6295
List of positive integer factors of 6295 that divides 6295 without a remainder.
1,5,1259,6295
Greatest Common Factor
We found the factors 306,6295 . The biggest common factor number is the GCF number.
So the greatest common factor 306,6295 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 9463/306, 9333/6295?
Answer: LCM of Numerators as per given numbers 9463/306, 9333/6295 is
LCM of Numerators i.e. for 9463,9333 is 88318179
GCF of denominators i.e. for 306,6295 is 1.
Thus, LCM of Fractions is 88318179.Finally, LCM of Fractions for 9463/306, 9333/6295 is 88318179.