Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7343/166, 4366/5068 quickly i.e. 16029769 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7343/166, 4366/5068 is 16029769.
LCM(7343/166, 4366/5068) = 16029769
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7343/166,4366/5068
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 7343,4366
Least Common Multiple of Numerators i.e. LCM of 7343,4366 is 32059538.
GCF of Denominators means GCF of 166,5068 as per the given fractions.
GCF of 166,5068 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7343,4366
Given numbers has no common factors except 1. So, there LCM is their product i.e 32059538
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 7343,4366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7343,4366) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7343,4366) x common factors =1 x 1 = 1
LCM(7343,4366) = ( 7343 × 4366 ) / 1
LCM(7343,4366) = 32059538 / 1
LCM(7343,4366) = 32059538
Lets's calculate GCF of 166,5068
2 | 166, 5068 |
83, 2534 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32059538/2
Therefore the LCM of Fractions 7343/166,4366/5068 is 16029769
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Factors of 5068
List of positive integer factors of 5068 that divides 5068 without a remainder.
1,2,4,7,14,28,181,362,724,1267,2534,5068
Greatest Common Factor
We found the factors 166,5068 . The biggest common factor number is the GCF number.
So the greatest common factor 166,5068 is 2.
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 7343/166, 4366/5068?
Answer: LCM of Numerators as per given numbers 7343/166, 4366/5068 is
LCM of Numerators i.e. for 7343,4366 is 32059538
GCF of denominators i.e. for 166,5068 is 2.
Thus, LCM of Fractions is 16029769.Finally, LCM of Fractions for 7343/166, 4366/5068 is 16029769.