Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 582/489, 5433/825 quickly i.e. 351334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 582/489, 5433/825 is 351334.
LCM(582/489, 5433/825) = 351334
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 582/489,5433/825
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 582,5433
Least Common Multiple of Numerators i.e. LCM of 582,5433 is 1054002.
GCF of Denominators means GCF of 489,825 as per the given fractions.
GCF of 489,825 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 582,5433
3 | 582, 5433 |
194, 1811 |
∴ So the LCM of the given numbers is 3 x 194 x 1811 = 1054002
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 582,5433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,5433) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(582,5433) x common factors =3 x 1 = 3
LCM(582,5433) = ( 582 × 5433 ) / 3
LCM(582,5433) = 3162006 / 3
LCM(582,5433) = 1054002
Lets's calculate GCF of 489,825
3 | 489, 825 |
163, 275 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1054002/3
Therefore the LCM of Fractions 582/489,5433/825 is 351334
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 489,825 . The biggest common factor number is the GCF number.
So the greatest common factor 489,825 is 3.
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 582/489, 5433/825?
Answer: LCM of Numerators as per given numbers 582/489, 5433/825 is
LCM of Numerators i.e. for 582,5433 is 1054002
GCF of denominators i.e. for 489,825 is 3.
Thus, LCM of Fractions is 351334.Finally, LCM of Fractions for 582/489, 5433/825 is 351334.