Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 317/424, 816/161, 462/818 quickly i.e. 19917744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 317/424, 816/161, 462/818 is 19917744.
LCM(317/424, 816/161, 462/818) = 19917744
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 317/424,816/161,462/818
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 317,816,462
Least Common Multiple of Numerators i.e. LCM of 317,816,462 is 19917744.
GCF of Denominators means GCF of 424,161,818 as per the given fractions.
GCF of 424,161,818 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 317,816,462
2 | 317, 816, 462 |
3 | 317, 408, 231 |
317, 136, 77 |
∴ So the LCM of the given numbers is 2 x 3 x 317 x 136 x 77 = 19917744
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 317,816,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,816,462) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(317,816,462) x common factors =1 x 6 = 6
LCM(317,816,462) = ( 317 × 816 × 462 ) / 6
LCM(317,816,462) = 119506464 / 6
LCM(317,816,462) = 19917744
Lets's calculate GCF of 424,161,818
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19917744/1
Therefore the LCM of Fractions 317/424,816/161,462/818 is 19917744
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Greatest Common Factor
We found the factors 424,161,818 . The biggest common factor number is the GCF number.
So the greatest common factor 424,161,818 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 317/424, 816/161, 462/818?
Answer: LCM of Numerators as per given numbers 317/424, 816/161, 462/818 is
LCM of Numerators i.e. for 317,816,462 is 19917744
GCF of denominators i.e. for 424,161,818 is 1.
Thus, LCM of Fractions is 19917744.Finally, LCM of Fractions for 317/424, 816/161, 462/818 is 19917744.