Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 345/489, 1239/809 quickly i.e. 142485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 345/489, 1239/809 is 142485.
LCM(345/489, 1239/809) = 142485
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 345/489,1239/809
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 345,1239
Least Common Multiple of Numerators i.e. LCM of 345,1239 is 142485.
GCF of Denominators means GCF of 489,809 as per the given fractions.
GCF of 489,809 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 345,1239
3 | 345, 1239 |
115, 413 |
∴ So the LCM of the given numbers is 3 x 115 x 413 = 142485
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 345,1239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,1239) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(345,1239) x common factors =3 x 1 = 3
LCM(345,1239) = ( 345 × 1239 ) / 3
LCM(345,1239) = 427455 / 3
LCM(345,1239) = 142485
Lets's calculate GCF of 489,809
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142485/1
Therefore the LCM of Fractions 345/489,1239/809 is 142485
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 809
List of positive integer factors of 809 that divides 809 without a remainder.
1,809
Greatest Common Factor
We found the factors 489,809 . The biggest common factor number is the GCF number.
So the greatest common factor 489,809 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 345/489, 1239/809?
Answer: LCM of Numerators as per given numbers 345/489, 1239/809 is
LCM of Numerators i.e. for 345,1239 is 142485
GCF of denominators i.e. for 489,809 is 1.
Thus, LCM of Fractions is 142485.Finally, LCM of Fractions for 345/489, 1239/809 is 142485.