Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 807/25, 593/6405 quickly i.e. 478551/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 807/25, 593/6405 is 478551/5.
LCM(807/25, 593/6405) = 478551/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 807/25,593/6405
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 807,593
Least Common Multiple of Numerators i.e. LCM of 807,593 is 478551.
GCF of Denominators means GCF of 25,6405 as per the given fractions.
GCF of 25,6405 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 807,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 478551
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 807,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,593) x common factors =1 x 1 = 1
LCM(807,593) = ( 807 × 593 ) / 1
LCM(807,593) = 478551 / 1
LCM(807,593) = 478551
Lets's calculate GCF of 25,6405
5 | 25, 6405 |
5, 1281 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 478551/5
Therefore the LCM of Fractions 807/25,593/6405 is 478551/5
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 6405
List of positive integer factors of 6405 that divides 6405 without a remainder.
1,3,5,7,15,21,35,61,105,183,305,427,915,1281,2135,6405
Greatest Common Factor
We found the factors 25,6405 . The biggest common factor number is the GCF number.
So the greatest common factor 25,6405 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 807/25, 593/6405?
Answer: LCM of Numerators as per given numbers 807/25, 593/6405 is
LCM of Numerators i.e. for 807,593 is 478551
GCF of denominators i.e. for 25,6405 is 5.
Thus, LCM of Fractions is 478551/5.Finally, LCM of Fractions for 807/25, 593/6405 is 478551/5.