Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/69, 16/75, 32/48, 17/539 quickly i.e. 15776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/69, 16/75, 32/48, 17/539 is 15776.
LCM(58/69, 16/75, 32/48, 17/539) = 15776
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/69,16/75,32/48,17/539
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 58,16,32,17
Least Common Multiple of Numerators i.e. LCM of 58,16,32,17 is 15776.
GCF of Denominators means GCF of 69,75,48,539 as per the given fractions.
GCF of 69,75,48,539 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,16,32,17
2 | 58, 16, 32, 17 |
2 | 29, 8, 16, 17 |
2 | 29, 4, 8, 17 |
2 | 29, 2, 4, 17 |
29, 1, 2, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 29 x 1 x 2 x 17 = 15776
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 58,16,32,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,16,32,17) = 1
common factors(in case of two or more numbers have common factors) = 32
GCF(58,16,32,17) x common factors =1 x 32 = 32
LCM(58,16,32,17) = ( 58 × 16 × 32 × 17 ) / 32
LCM(58,16,32,17) = 504832 / 32
LCM(58,16,32,17) = 15776
Lets's calculate GCF of 69,75,48,539
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15776/1
Therefore the LCM of Fractions 58/69,16/75,32/48,17/539 is 15776
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
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 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Greatest Common Factor
We found the factors 69,75,48,539 . The biggest common factor number is the GCF number.
So the greatest common factor 69,75,48,539 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 58/69, 16/75, 32/48, 17/539?
Answer: LCM of Numerators as per given numbers 58/69, 16/75, 32/48, 17/539 is
LCM of Numerators i.e. for 58,16,32,17 is 15776
GCF of denominators i.e. for 69,75,48,539 is 1.
Thus, LCM of Fractions is 15776.Finally, LCM of Fractions for 58/69, 16/75, 32/48, 17/539 is 15776.