Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/29, 59/19, 86/83, 58/541 quickly i.e. 2207190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/29, 59/19, 86/83, 58/541 is 2207190.
LCM(15/29, 59/19, 86/83, 58/541) = 2207190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/29,59/19,86/83,58/541
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 15,59,86,58
Least Common Multiple of Numerators i.e. LCM of 15,59,86,58 is 2207190.
GCF of Denominators means GCF of 29,19,83,541 as per the given fractions.
GCF of 29,19,83,541 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,59,86,58
2 | 15, 59, 86, 58 |
15, 59, 43, 29 |
∴ So the LCM of the given numbers is 2 x 15 x 59 x 43 x 29 = 2207190
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 15,59,86,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,59,86,58) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(15,59,86,58) x common factors =1 x 2 = 2
LCM(15,59,86,58) = ( 15 × 59 × 86 × 58 ) / 2
LCM(15,59,86,58) = 4414380 / 2
LCM(15,59,86,58) = 2207190
Lets's calculate GCF of 29,19,83,541
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2207190/1
Therefore the LCM of Fractions 15/29,59/19,86/83,58/541 is 2207190
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Greatest Common Factor
We found the factors 29,19,83,541 . The biggest common factor number is the GCF number.
So the greatest common factor 29,19,83,541 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 15/29, 59/19, 86/83, 58/541?
Answer: LCM of Numerators as per given numbers 15/29, 59/19, 86/83, 58/541 is
LCM of Numerators i.e. for 15,59,86,58 is 2207190
GCF of denominators i.e. for 29,19,83,541 is 1.
Thus, LCM of Fractions is 2207190.Finally, LCM of Fractions for 15/29, 59/19, 86/83, 58/541 is 2207190.