Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/86, 93/28, 529/60 quickly i.e. 49197/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/86, 93/28, 529/60 is 49197/2.
LCM(23/86, 93/28, 529/60) = 49197/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/86,93/28,529/60
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 23,93,529
Least Common Multiple of Numerators i.e. LCM of 23,93,529 is 49197.
GCF of Denominators means GCF of 86,28,60 as per the given fractions.
GCF of 86,28,60 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,93,529
23 | 23, 93, 529 |
1, 93, 23 |
∴ So the LCM of the given numbers is 23 x 1 x 93 x 23 = 49197
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 23,93,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,93,529) = 1
common factors(in case of two or more numbers have common factors) = 23
GCF(23,93,529) x common factors =1 x 23 = 23
LCM(23,93,529) = ( 23 × 93 × 529 ) / 23
LCM(23,93,529) = 1131531 / 23
LCM(23,93,529) = 49197
Lets's calculate GCF of 86,28,60
2 | 86, 28, 60 |
43, 14, 30 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49197/2
Therefore the LCM of Fractions 23/86,93/28,529/60 is 49197/2
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Greatest Common Factor
We found the factors 86,28,60 . The biggest common factor number is the GCF number.
So the greatest common factor 86,28,60 is 2.
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 23/86, 93/28, 529/60?
Answer: LCM of Numerators as per given numbers 23/86, 93/28, 529/60 is
LCM of Numerators i.e. for 23,93,529 is 49197
GCF of denominators i.e. for 86,28,60 is 2.
Thus, LCM of Fractions is 49197/2.Finally, LCM of Fractions for 23/86, 93/28, 529/60 is 49197/2.