Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/48, 89/41, 85/27, 33/566 quickly i.e. 14479410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/48, 89/41, 85/27, 33/566 is 14479410.
LCM(58/48, 89/41, 85/27, 33/566) = 14479410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/48,89/41,85/27,33/566
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 58,89,85,33
Least Common Multiple of Numerators i.e. LCM of 58,89,85,33 is 14479410.
GCF of Denominators means GCF of 48,41,27,566 as per the given fractions.
GCF of 48,41,27,566 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,89,85,33
Given numbers has no common factors except 1. So, there LCM is their product i.e 14479410
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 58,89,85,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,89,85,33) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,89,85,33) x common factors =1 x 1 = 1
LCM(58,89,85,33) = ( 58 × 89 × 85 × 33 ) / 1
LCM(58,89,85,33) = 14479410 / 1
LCM(58,89,85,33) = 14479410
Lets's calculate GCF of 48,41,27,566
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14479410/1
Therefore the LCM of Fractions 58/48,89/41,85/27,33/566 is 14479410
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 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Greatest Common Factor
We found the factors 48,41,27,566 . The biggest common factor number is the GCF number.
So the greatest common factor 48,41,27,566 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 58/48, 89/41, 85/27, 33/566?
Answer: LCM of Numerators as per given numbers 58/48, 89/41, 85/27, 33/566 is
LCM of Numerators i.e. for 58,89,85,33 is 14479410
GCF of denominators i.e. for 48,41,27,566 is 1.
Thus, LCM of Fractions is 14479410.Finally, LCM of Fractions for 58/48, 89/41, 85/27, 33/566 is 14479410.