Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/29, 99/83, 77/58, 82/596 quickly i.e. 56826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/29, 99/83, 77/58, 82/596 is 56826.
LCM(41/29, 99/83, 77/58, 82/596) = 56826
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/29,99/83,77/58,82/596
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 41,99,77,82
Least Common Multiple of Numerators i.e. LCM of 41,99,77,82 is 56826.
GCF of Denominators means GCF of 29,83,58,596 as per the given fractions.
GCF of 29,83,58,596 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,99,77,82
11 | 41, 99, 77, 82 |
41 | 41, 9, 7, 82 |
1, 9, 7, 2 |
∴ So the LCM of the given numbers is 11 x 41 x 1 x 9 x 7 x 2 = 56826
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 41,99,77,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,99,77,82) = 1
common factors(in case of two or more numbers have common factors) = 451
GCF(41,99,77,82) x common factors =1 x 451 = 451
LCM(41,99,77,82) = ( 41 × 99 × 77 × 82 ) / 451
LCM(41,99,77,82) = 25628526 / 451
LCM(41,99,77,82) = 56826
Lets's calculate GCF of 29,83,58,596
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56826/1
Therefore the LCM of Fractions 41/29,99/83,77/58,82/596 is 56826
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Greatest Common Factor
We found the factors 29,83,58,596 . The biggest common factor number is the GCF number.
So the greatest common factor 29,83,58,596 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 41/29, 99/83, 77/58, 82/596?
Answer: LCM of Numerators as per given numbers 41/29, 99/83, 77/58, 82/596 is
LCM of Numerators i.e. for 41,99,77,82 is 56826
GCF of denominators i.e. for 29,83,58,596 is 1.
Thus, LCM of Fractions is 56826.Finally, LCM of Fractions for 41/29, 99/83, 77/58, 82/596 is 56826.