Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 831/858, 468/582 quickly i.e. 21606 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 831/858, 468/582 is 21606.
LCM(831/858, 468/582) = 21606
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 831/858,468/582
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 831,468
Least Common Multiple of Numerators i.e. LCM of 831,468 is 129636.
GCF of Denominators means GCF of 858,582 as per the given fractions.
GCF of 858,582 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 831,468
3 | 831, 468 |
277, 156 |
∴ So the LCM of the given numbers is 3 x 277 x 156 = 129636
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 831,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,468) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(831,468) x common factors =3 x 1 = 3
LCM(831,468) = ( 831 × 468 ) / 3
LCM(831,468) = 388908 / 3
LCM(831,468) = 129636
Lets's calculate GCF of 858,582
2 | 858, 582 |
3 | 429, 291 |
143, 97 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129636/6
Therefore the LCM of Fractions 831/858,468/582 is 21606
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 858,582 . The biggest common factor number is the GCF number.
So the greatest common factor 858,582 is 6.
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 831/858, 468/582?
Answer: LCM of Numerators as per given numbers 831/858, 468/582 is
LCM of Numerators i.e. for 831,468 is 129636
GCF of denominators i.e. for 858,582 is 6.
Thus, LCM of Fractions is 21606.Finally, LCM of Fractions for 831/858, 468/582 is 21606.