Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/966, 3799/4459 quickly i.e. 243136/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/966, 3799/4459 is 243136/7.
LCM(64/966, 3799/4459) = 243136/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/966,3799/4459
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 64,3799
Least Common Multiple of Numerators i.e. LCM of 64,3799 is 243136.
GCF of Denominators means GCF of 966,4459 as per the given fractions.
GCF of 966,4459 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,3799
Given numbers has no common factors except 1. So, there LCM is their product i.e 243136
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 64,3799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,3799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,3799) x common factors =1 x 1 = 1
LCM(64,3799) = ( 64 × 3799 ) / 1
LCM(64,3799) = 243136 / 1
LCM(64,3799) = 243136
Lets's calculate GCF of 966,4459
7 | 966, 4459 |
138, 637 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243136/7
Therefore the LCM of Fractions 64/966,3799/4459 is 243136/7
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 4459
List of positive integer factors of 4459 that divides 4459 without a remainder.
1,7,13,49,91,343,637,4459
Greatest Common Factor
We found the factors 966,4459 . The biggest common factor number is the GCF number.
So the greatest common factor 966,4459 is 7.
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 64/966, 3799/4459?
Answer: LCM of Numerators as per given numbers 64/966, 3799/4459 is
LCM of Numerators i.e. for 64,3799 is 243136
GCF of denominators i.e. for 966,4459 is 7.
Thus, LCM of Fractions is 243136/7.Finally, LCM of Fractions for 64/966, 3799/4459 is 243136/7.