Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 267/489, 1289/460 quickly i.e. 344163 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 267/489, 1289/460 is 344163.
LCM(267/489, 1289/460) = 344163
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 267/489,1289/460
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 267,1289
Least Common Multiple of Numerators i.e. LCM of 267,1289 is 344163.
GCF of Denominators means GCF of 489,460 as per the given fractions.
GCF of 489,460 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 267,1289
Given numbers has no common factors except 1. So, there LCM is their product i.e 344163
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 267,1289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,1289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,1289) x common factors =1 x 1 = 1
LCM(267,1289) = ( 267 × 1289 ) / 1
LCM(267,1289) = 344163 / 1
LCM(267,1289) = 344163
Lets's calculate GCF of 489,460
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 344163/1
Therefore the LCM of Fractions 267/489,1289/460 is 344163
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 489,460 . The biggest common factor number is the GCF number.
So the greatest common factor 489,460 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 267/489, 1289/460?
Answer: LCM of Numerators as per given numbers 267/489, 1289/460 is
LCM of Numerators i.e. for 267,1289 is 344163
GCF of denominators i.e. for 489,460 is 1.
Thus, LCM of Fractions is 344163.Finally, LCM of Fractions for 267/489, 1289/460 is 344163.