Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/541, 58/435, 261/188 quickly i.e. 12006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/541, 58/435, 261/188 is 12006.
LCM(23/541, 58/435, 261/188) = 12006
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/541,58/435,261/188
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 23,58,261
Least Common Multiple of Numerators i.e. LCM of 23,58,261 is 12006.
GCF of Denominators means GCF of 541,435,188 as per the given fractions.
GCF of 541,435,188 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,58,261
29 | 23, 58, 261 |
23, 2, 9 |
∴ So the LCM of the given numbers is 29 x 23 x 2 x 9 = 12006
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 23,58,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,58,261) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(23,58,261) x common factors =1 x 29 = 29
LCM(23,58,261) = ( 23 × 58 × 261 ) / 29
LCM(23,58,261) = 348174 / 29
LCM(23,58,261) = 12006
Lets's calculate GCF of 541,435,188
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12006/1
Therefore the LCM of Fractions 23/541,58/435,261/188 is 12006
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Greatest Common Factor
We found the factors 541,435,188 . The biggest common factor number is the GCF number.
So the greatest common factor 541,435,188 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 23/541, 58/435, 261/188?
Answer: LCM of Numerators as per given numbers 23/541, 58/435, 261/188 is
LCM of Numerators i.e. for 23,58,261 is 12006
GCF of denominators i.e. for 541,435,188 is 1.
Thus, LCM of Fractions is 12006.Finally, LCM of Fractions for 23/541, 58/435, 261/188 is 12006.