Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8965/433, 2105/3805 quickly i.e. 3774265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8965/433, 2105/3805 is 3774265.
LCM(8965/433, 2105/3805) = 3774265
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8965/433,2105/3805
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 8965,2105
Least Common Multiple of Numerators i.e. LCM of 8965,2105 is 3774265.
GCF of Denominators means GCF of 433,3805 as per the given fractions.
GCF of 433,3805 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8965,2105
5 | 8965, 2105 |
1793, 421 |
∴ So the LCM of the given numbers is 5 x 1793 x 421 = 3774265
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 8965,2105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8965,2105) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(8965,2105) x common factors =5 x 1 = 5
LCM(8965,2105) = ( 8965 × 2105 ) / 5
LCM(8965,2105) = 18871325 / 5
LCM(8965,2105) = 3774265
Lets's calculate GCF of 433,3805
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3774265/1
Therefore the LCM of Fractions 8965/433,2105/3805 is 3774265
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 3805
List of positive integer factors of 3805 that divides 3805 without a remainder.
1,5,761,3805
Greatest Common Factor
We found the factors 433,3805 . The biggest common factor number is the GCF number.
So the greatest common factor 433,3805 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 8965/433, 2105/3805?
Answer: LCM of Numerators as per given numbers 8965/433, 2105/3805 is
LCM of Numerators i.e. for 8965,2105 is 3774265
GCF of denominators i.e. for 433,3805 is 1.
Thus, LCM of Fractions is 3774265.Finally, LCM of Fractions for 8965/433, 2105/3805 is 3774265.