Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/68, 82/80, 842/855 quickly i.e. 448786 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/68, 82/80, 842/855 is 448786.
LCM(26/68, 82/80, 842/855) = 448786
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/68,82/80,842/855
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 26,82,842
Least Common Multiple of Numerators i.e. LCM of 26,82,842 is 448786.
GCF of Denominators means GCF of 68,80,855 as per the given fractions.
GCF of 68,80,855 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,82,842
2 | 26, 82, 842 |
13, 41, 421 |
∴ So the LCM of the given numbers is 2 x 13 x 41 x 421 = 448786
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 26,82,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,82,842) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(26,82,842) x common factors =2 x 2 = 4
LCM(26,82,842) = ( 26 × 82 × 842 ) / 4
LCM(26,82,842) = 1795144 / 4
LCM(26,82,842) = 448786
Lets's calculate GCF of 68,80,855
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 448786/1
Therefore the LCM of Fractions 26/68,82/80,842/855 is 448786
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
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 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Greatest Common Factor
We found the factors 68,80,855 . The biggest common factor number is the GCF number.
So the greatest common factor 68,80,855 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 26/68, 82/80, 842/855?
Answer: LCM of Numerators as per given numbers 26/68, 82/80, 842/855 is
LCM of Numerators i.e. for 26,82,842 is 448786
GCF of denominators i.e. for 68,80,855 is 1.
Thus, LCM of Fractions is 448786.Finally, LCM of Fractions for 26/68, 82/80, 842/855 is 448786.