Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9985/794, 5613/255 quickly i.e. 56045805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9985/794, 5613/255 is 56045805.
LCM(9985/794, 5613/255) = 56045805
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9985/794,5613/255
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 9985,5613
Least Common Multiple of Numerators i.e. LCM of 9985,5613 is 56045805.
GCF of Denominators means GCF of 794,255 as per the given fractions.
GCF of 794,255 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9985,5613
Given numbers has no common factors except 1. So, there LCM is their product i.e 56045805
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 9985,5613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9985,5613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9985,5613) x common factors =1 x 1 = 1
LCM(9985,5613) = ( 9985 × 5613 ) / 1
LCM(9985,5613) = 56045805 / 1
LCM(9985,5613) = 56045805
Lets's calculate GCF of 794,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56045805/1
Therefore the LCM of Fractions 9985/794,5613/255 is 56045805
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 794,255 . The biggest common factor number is the GCF number.
So the greatest common factor 794,255 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 9985/794, 5613/255?
Answer: LCM of Numerators as per given numbers 9985/794, 5613/255 is
LCM of Numerators i.e. for 9985,5613 is 56045805
GCF of denominators i.e. for 794,255 is 1.
Thus, LCM of Fractions is 56045805.Finally, LCM of Fractions for 9985/794, 5613/255 is 56045805.