Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/82, 23/48, 48/69, 13/46 quickly i.e. 14352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/82, 23/48, 48/69, 13/46 is 14352.
LCM(39/82, 23/48, 48/69, 13/46) = 14352
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/82,23/48,48/69,13/46
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 39,23,48,13
Least Common Multiple of Numerators i.e. LCM of 39,23,48,13 is 14352.
GCF of Denominators means GCF of 82,48,69,46 as per the given fractions.
GCF of 82,48,69,46 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,23,48,13
3 | 39, 23, 48, 13 |
13 | 13, 23, 16, 13 |
1, 23, 16, 1 |
∴ So the LCM of the given numbers is 3 x 13 x 1 x 23 x 16 x 1 = 14352
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 39,23,48,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,23,48,13) = 1
common factors(in case of two or more numbers have common factors) = 39
GCF(39,23,48,13) x common factors =1 x 39 = 39
LCM(39,23,48,13) = ( 39 × 23 × 48 × 13 ) / 39
LCM(39,23,48,13) = 559728 / 39
LCM(39,23,48,13) = 14352
Lets's calculate GCF of 82,48,69,46
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14352/1
Therefore the LCM of Fractions 39/82,23/48,48/69,13/46 is 14352
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Greatest Common Factor
We found the factors 82,48,69,46 . The biggest common factor number is the GCF number.
So the greatest common factor 82,48,69,46 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 39/82, 23/48, 48/69, 13/46?
Answer: LCM of Numerators as per given numbers 39/82, 23/48, 48/69, 13/46 is
LCM of Numerators i.e. for 39,23,48,13 is 14352
GCF of denominators i.e. for 82,48,69,46 is 1.
Thus, LCM of Fractions is 14352.Finally, LCM of Fractions for 39/82, 23/48, 48/69, 13/46 is 14352.