Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 386/231, 8365/4293 quickly i.e. 3228890/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 386/231, 8365/4293 is 3228890/3.
LCM(386/231, 8365/4293) = 3228890/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 386/231,8365/4293
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 386,8365
Least Common Multiple of Numerators i.e. LCM of 386,8365 is 3228890.
GCF of Denominators means GCF of 231,4293 as per the given fractions.
GCF of 231,4293 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 386,8365
Given numbers has no common factors except 1. So, there LCM is their product i.e 3228890
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 386,8365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,8365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(386,8365) x common factors =1 x 1 = 1
LCM(386,8365) = ( 386 × 8365 ) / 1
LCM(386,8365) = 3228890 / 1
LCM(386,8365) = 3228890
Lets's calculate GCF of 231,4293
3 | 231, 4293 |
77, 1431 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3228890/3
Therefore the LCM of Fractions 386/231,8365/4293 is 3228890/3
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 4293
List of positive integer factors of 4293 that divides 4293 without a remainder.
1,3,9,27,53,81,159,477,1431,4293
Greatest Common Factor
We found the factors 231,4293 . The biggest common factor number is the GCF number.
So the greatest common factor 231,4293 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 386/231, 8365/4293?
Answer: LCM of Numerators as per given numbers 386/231, 8365/4293 is
LCM of Numerators i.e. for 386,8365 is 3228890
GCF of denominators i.e. for 231,4293 is 3.
Thus, LCM of Fractions is 3228890/3.Finally, LCM of Fractions for 386/231, 8365/4293 is 3228890/3.