Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/30, 99/73, 47/241 quickly i.e. 130284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/30, 99/73, 47/241 is 130284.
LCM(84/30, 99/73, 47/241) = 130284
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/30,99/73,47/241
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 84,99,47
Least Common Multiple of Numerators i.e. LCM of 84,99,47 is 130284.
GCF of Denominators means GCF of 30,73,241 as per the given fractions.
GCF of 30,73,241 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,99,47
3 | 84, 99, 47 |
28, 33, 47 |
∴ So the LCM of the given numbers is 3 x 28 x 33 x 47 = 130284
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 84,99,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,99,47) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(84,99,47) x common factors =1 x 3 = 3
LCM(84,99,47) = ( 84 × 99 × 47 ) / 3
LCM(84,99,47) = 390852 / 3
LCM(84,99,47) = 130284
Lets's calculate GCF of 30,73,241
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130284/1
Therefore the LCM of Fractions 84/30,99/73,47/241 is 130284
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 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Greatest Common Factor
We found the factors 30,73,241 . The biggest common factor number is the GCF number.
So the greatest common factor 30,73,241 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 84/30, 99/73, 47/241?
Answer: LCM of Numerators as per given numbers 84/30, 99/73, 47/241 is
LCM of Numerators i.e. for 84,99,47 is 130284
GCF of denominators i.e. for 30,73,241 is 1.
Thus, LCM of Fractions is 130284.Finally, LCM of Fractions for 84/30, 99/73, 47/241 is 130284.