Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8083/45, 3425/805 quickly i.e. 40415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8083/45, 3425/805 is 40415.
LCM(8083/45, 3425/805) = 40415
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8083/45,3425/805
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 8083,3425
Least Common Multiple of Numerators i.e. LCM of 8083,3425 is 202075.
GCF of Denominators means GCF of 45,805 as per the given fractions.
GCF of 45,805 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8083,3425
137 | 8083, 3425 |
59, 25 |
∴ So the LCM of the given numbers is 137 x 59 x 25 = 202075
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 8083,3425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8083,3425) = 137
common factors(in case of two or more numbers have common factors) = 1
GCF(8083,3425) x common factors =137 x 1 = 137
LCM(8083,3425) = ( 8083 × 3425 ) / 137
LCM(8083,3425) = 27684275 / 137
LCM(8083,3425) = 202075
Lets's calculate GCF of 45,805
5 | 45, 805 |
9, 161 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202075/5
Therefore the LCM of Fractions 8083/45,3425/805 is 40415
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 45,805 . The biggest common factor number is the GCF number.
So the greatest common factor 45,805 is 5.
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 8083/45, 3425/805?
Answer: LCM of Numerators as per given numbers 8083/45, 3425/805 is
LCM of Numerators i.e. for 8083,3425 is 202075
GCF of denominators i.e. for 45,805 is 5.
Thus, LCM of Fractions is 40415.Finally, LCM of Fractions for 8083/45, 3425/805 is 40415.