Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4085/25, 7353/335 quickly i.e. 7353 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4085/25, 7353/335 is 7353.
LCM(4085/25, 7353/335) = 7353
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4085/25,7353/335
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 4085,7353
Least Common Multiple of Numerators i.e. LCM of 4085,7353 is 36765.
GCF of Denominators means GCF of 25,335 as per the given fractions.
GCF of 25,335 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4085,7353
19 | 4085, 7353 |
43 | 215, 387 |
5, 9 |
∴ So the LCM of the given numbers is 19 x 43 x 5 x 9 = 36765
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 4085,7353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4085,7353) = 817
common factors(in case of two or more numbers have common factors) = 1
GCF(4085,7353) x common factors =817 x 1 = 817
LCM(4085,7353) = ( 4085 × 7353 ) / 817
LCM(4085,7353) = 30037005 / 817
LCM(4085,7353) = 36765
Lets's calculate GCF of 25,335
5 | 25, 335 |
5, 67 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36765/5
Therefore the LCM of Fractions 4085/25,7353/335 is 7353
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Greatest Common Factor
We found the factors 25,335 . The biggest common factor number is the GCF number.
So the greatest common factor 25,335 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 4085/25, 7353/335?
Answer: LCM of Numerators as per given numbers 4085/25, 7353/335 is
LCM of Numerators i.e. for 4085,7353 is 36765
GCF of denominators i.e. for 25,335 is 5.
Thus, LCM of Fractions is 7353.Finally, LCM of Fractions for 4085/25, 7353/335 is 7353.