Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 331/39, 4366/264 quickly i.e. 1445146/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 331/39, 4366/264 is 1445146/3.
LCM(331/39, 4366/264) = 1445146/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 331/39,4366/264
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 331,4366
Least Common Multiple of Numerators i.e. LCM of 331,4366 is 1445146.
GCF of Denominators means GCF of 39,264 as per the given fractions.
GCF of 39,264 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 331,4366
Given numbers has no common factors except 1. So, there LCM is their product i.e 1445146
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 331,4366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,4366) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,4366) x common factors =1 x 1 = 1
LCM(331,4366) = ( 331 × 4366 ) / 1
LCM(331,4366) = 1445146 / 1
LCM(331,4366) = 1445146
Lets's calculate GCF of 39,264
3 | 39, 264 |
13, 88 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1445146/3
Therefore the LCM of Fractions 331/39,4366/264 is 1445146/3
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Greatest Common Factor
We found the factors 39,264 . The biggest common factor number is the GCF number.
So the greatest common factor 39,264 is 3.
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 331/39, 4366/264?
Answer: LCM of Numerators as per given numbers 331/39, 4366/264 is
LCM of Numerators i.e. for 331,4366 is 1445146
GCF of denominators i.e. for 39,264 is 3.
Thus, LCM of Fractions is 1445146/3.Finally, LCM of Fractions for 331/39, 4366/264 is 1445146/3.