Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/660, 41/317, 469/665 quickly i.e. 38458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/660, 41/317, 469/665 is 38458.
LCM(82/660, 41/317, 469/665) = 38458
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/660,41/317,469/665
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 82,41,469
Least Common Multiple of Numerators i.e. LCM of 82,41,469 is 38458.
GCF of Denominators means GCF of 660,317,665 as per the given fractions.
GCF of 660,317,665 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,41,469
41 | 82, 41, 469 |
2, 1, 469 |
∴ So the LCM of the given numbers is 41 x 2 x 1 x 469 = 38458
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 82,41,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,41,469) = 1
common factors(in case of two or more numbers have common factors) = 41
GCF(82,41,469) x common factors =1 x 41 = 41
LCM(82,41,469) = ( 82 × 41 × 469 ) / 41
LCM(82,41,469) = 1576778 / 41
LCM(82,41,469) = 38458
Lets's calculate GCF of 660,317,665
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38458/1
Therefore the LCM of Fractions 82/660,41/317,469/665 is 38458
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 317
List of positive integer factors of 317 that divides 317 without a remainder.
1,317
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 660,317,665 . The biggest common factor number is the GCF number.
So the greatest common factor 660,317,665 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 82/660, 41/317, 469/665?
Answer: LCM of Numerators as per given numbers 82/660, 41/317, 469/665 is
LCM of Numerators i.e. for 82,41,469 is 38458
GCF of denominators i.e. for 660,317,665 is 1.
Thus, LCM of Fractions is 38458.Finally, LCM of Fractions for 82/660, 41/317, 469/665 is 38458.