Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 865/19, 337/80, 995/255 quickly i.e. 58009495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 865/19, 337/80, 995/255 is 58009495.
LCM(865/19, 337/80, 995/255) = 58009495
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 865/19,337/80,995/255
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 865,337,995
Least Common Multiple of Numerators i.e. LCM of 865,337,995 is 58009495.
GCF of Denominators means GCF of 19,80,255 as per the given fractions.
GCF of 19,80,255 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 865,337,995
5 | 865, 337, 995 |
173, 337, 199 |
∴ So the LCM of the given numbers is 5 x 173 x 337 x 199 = 58009495
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 865,337,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,337,995) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(865,337,995) x common factors =1 x 5 = 5
LCM(865,337,995) = ( 865 × 337 × 995 ) / 5
LCM(865,337,995) = 290047475 / 5
LCM(865,337,995) = 58009495
Lets's calculate GCF of 19,80,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58009495/1
Therefore the LCM of Fractions 865/19,337/80,995/255 is 58009495
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
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 19,80,255 . The biggest common factor number is the GCF number.
So the greatest common factor 19,80,255 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 865/19, 337/80, 995/255?
Answer: LCM of Numerators as per given numbers 865/19, 337/80, 995/255 is
LCM of Numerators i.e. for 865,337,995 is 58009495
GCF of denominators i.e. for 19,80,255 is 1.
Thus, LCM of Fractions is 58009495.Finally, LCM of Fractions for 865/19, 337/80, 995/255 is 58009495.