Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/30, 19/68, 55/45, 47/471 quickly i.e. 49115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/30, 19/68, 55/45, 47/471 is 49115.
LCM(47/30, 19/68, 55/45, 47/471) = 49115
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/30,19/68,55/45,47/471
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 47,19,55,47
Least Common Multiple of Numerators i.e. LCM of 47,19,55,47 is 49115.
GCF of Denominators means GCF of 30,68,45,471 as per the given fractions.
GCF of 30,68,45,471 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,19,55,47
47 | 47, 19, 55, 47 |
1, 19, 55, 1 |
∴ So the LCM of the given numbers is 47 x 1 x 19 x 55 x 1 = 49115
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 47,19,55,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,19,55,47) = 1
common factors(in case of two or more numbers have common factors) = 47
GCF(47,19,55,47) x common factors =1 x 47 = 47
LCM(47,19,55,47) = ( 47 × 19 × 55 × 47 ) / 47
LCM(47,19,55,47) = 2308405 / 47
LCM(47,19,55,47) = 49115
Lets's calculate GCF of 30,68,45,471
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49115/1
Therefore the LCM of Fractions 47/30,19/68,55/45,47/471 is 49115
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Greatest Common Factor
We found the factors 30,68,45,471 . The biggest common factor number is the GCF number.
So the greatest common factor 30,68,45,471 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 47/30, 19/68, 55/45, 47/471?
Answer: LCM of Numerators as per given numbers 47/30, 19/68, 55/45, 47/471 is
LCM of Numerators i.e. for 47,19,55,47 is 49115
GCF of denominators i.e. for 30,68,45,471 is 1.
Thus, LCM of Fractions is 49115.Finally, LCM of Fractions for 47/30, 19/68, 55/45, 47/471 is 49115.