Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 404/58, 229/5858 quickly i.e. 92516/58 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 404/58, 229/5858 is 92516/58.
LCM(404/58, 229/5858) = 92516/58
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 404/58,229/5858
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 404,229
Least Common Multiple of Numerators i.e. LCM of 404,229 is 92516.
GCF of Denominators means GCF of 58,5858 as per the given fractions.
GCF of 58,5858 is 58 as it is the largest common factor for these numbers.
Lets's calculate LCM of 404,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 92516
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 404,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,229) x common factors =1 x 1 = 1
LCM(404,229) = ( 404 × 229 ) / 1
LCM(404,229) = 92516 / 1
LCM(404,229) = 92516
Lets's calculate GCF of 58,5858
2 | 58, 5858 |
29 | 29, 2929 |
1, 101 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92516/58
Therefore the LCM of Fractions 404/58,229/5858 is 92516/58
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 5858
List of positive integer factors of 5858 that divides 5858 without a remainder.
1,2,29,58,101,202,2929,5858
Greatest Common Factor
We found the factors 58,5858 . The biggest common factor number is the GCF number.
So the greatest common factor 58,5858 is 58.
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 404/58, 229/5858?
Answer: LCM of Numerators as per given numbers 404/58, 229/5858 is
LCM of Numerators i.e. for 404,229 is 92516
GCF of denominators i.e. for 58,5858 is 58.
Thus, LCM of Fractions is 92516/58.Finally, LCM of Fractions for 404/58, 229/5858 is 92516/58.