Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 303/65, 968/5931 quickly i.e. 293304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 303/65, 968/5931 is 293304.
LCM(303/65, 968/5931) = 293304
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 303/65,968/5931
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 303,968
Least Common Multiple of Numerators i.e. LCM of 303,968 is 293304.
GCF of Denominators means GCF of 65,5931 as per the given fractions.
GCF of 65,5931 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 303,968
Given numbers has no common factors except 1. So, there LCM is their product i.e 293304
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 303,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,968) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(303,968) x common factors =1 x 1 = 1
LCM(303,968) = ( 303 × 968 ) / 1
LCM(303,968) = 293304 / 1
LCM(303,968) = 293304
Lets's calculate GCF of 65,5931
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 293304/1
Therefore the LCM of Fractions 303/65,968/5931 is 293304
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 5931
List of positive integer factors of 5931 that divides 5931 without a remainder.
1,3,9,659,1977,5931
Greatest Common Factor
We found the factors 65,5931 . The biggest common factor number is the GCF number.
So the greatest common factor 65,5931 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 303/65, 968/5931?
Answer: LCM of Numerators as per given numbers 303/65, 968/5931 is
LCM of Numerators i.e. for 303,968 is 293304
GCF of denominators i.e. for 65,5931 is 1.
Thus, LCM of Fractions is 293304.Finally, LCM of Fractions for 303/65, 968/5931 is 293304.