Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 832/81, 728/50, 863/497 quickly i.e. 5026112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 832/81, 728/50, 863/497 is 5026112.
LCM(832/81, 728/50, 863/497) = 5026112
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 832/81,728/50,863/497
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 832,728,863
Least Common Multiple of Numerators i.e. LCM of 832,728,863 is 5026112.
GCF of Denominators means GCF of 81,50,497 as per the given fractions.
GCF of 81,50,497 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 832,728,863
2 | 832, 728, 863 |
2 | 416, 364, 863 |
2 | 208, 182, 863 |
13 | 104, 91, 863 |
8, 7, 863 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 8 x 7 x 863 = 5026112
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 832,728,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,728,863) = 1
common factors(in case of two or more numbers have common factors) = 104
GCF(832,728,863) x common factors =1 x 104 = 104
LCM(832,728,863) = ( 832 × 728 × 863 ) / 104
LCM(832,728,863) = 522715648 / 104
LCM(832,728,863) = 5026112
Lets's calculate GCF of 81,50,497
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5026112/1
Therefore the LCM of Fractions 832/81,728/50,863/497 is 5026112
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Greatest Common Factor
We found the factors 81,50,497 . The biggest common factor number is the GCF number.
So the greatest common factor 81,50,497 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 832/81, 728/50, 863/497?
Answer: LCM of Numerators as per given numbers 832/81, 728/50, 863/497 is
LCM of Numerators i.e. for 832,728,863 is 5026112
GCF of denominators i.e. for 81,50,497 is 1.
Thus, LCM of Fractions is 5026112.Finally, LCM of Fractions for 832/81, 728/50, 863/497 is 5026112.