Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 582/781, 1843/792 quickly i.e. 11058/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 582/781, 1843/792 is 11058/11.
LCM(582/781, 1843/792) = 11058/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 582/781,1843/792
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 582,1843
Least Common Multiple of Numerators i.e. LCM of 582,1843 is 11058.
GCF of Denominators means GCF of 781,792 as per the given fractions.
GCF of 781,792 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 582,1843
97 | 582, 1843 |
6, 19 |
∴ So the LCM of the given numbers is 97 x 6 x 19 = 11058
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 582,1843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,1843) = 97
common factors(in case of two or more numbers have common factors) = 1
GCF(582,1843) x common factors =97 x 1 = 97
LCM(582,1843) = ( 582 × 1843 ) / 97
LCM(582,1843) = 1072626 / 97
LCM(582,1843) = 11058
Lets's calculate GCF of 781,792
11 | 781, 792 |
71, 72 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11058/11
Therefore the LCM of Fractions 582/781,1843/792 is 11058/11
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Greatest Common Factor
We found the factors 781,792 . The biggest common factor number is the GCF number.
So the greatest common factor 781,792 is 11.
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 582/781, 1843/792?
Answer: LCM of Numerators as per given numbers 582/781, 1843/792 is
LCM of Numerators i.e. for 582,1843 is 11058
GCF of denominators i.e. for 781,792 is 11.
Thus, LCM of Fractions is 11058/11.Finally, LCM of Fractions for 582/781, 1843/792 is 11058/11.