Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/482, 33/309, 227/956 quickly i.e. 74910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/482, 33/309, 227/956 is 74910.
LCM(30/482, 33/309, 227/956) = 74910
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/482,33/309,227/956
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 30,33,227
Least Common Multiple of Numerators i.e. LCM of 30,33,227 is 74910.
GCF of Denominators means GCF of 482,309,956 as per the given fractions.
GCF of 482,309,956 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,33,227
3 | 30, 33, 227 |
10, 11, 227 |
∴ So the LCM of the given numbers is 3 x 10 x 11 x 227 = 74910
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 30,33,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,33,227) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(30,33,227) x common factors =1 x 3 = 3
LCM(30,33,227) = ( 30 × 33 × 227 ) / 3
LCM(30,33,227) = 224730 / 3
LCM(30,33,227) = 74910
Lets's calculate GCF of 482,309,956
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74910/1
Therefore the LCM of Fractions 30/482,33/309,227/956 is 74910
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Greatest Common Factor
We found the factors 482,309,956 . The biggest common factor number is the GCF number.
So the greatest common factor 482,309,956 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 30/482, 33/309, 227/956?
Answer: LCM of Numerators as per given numbers 30/482, 33/309, 227/956 is
LCM of Numerators i.e. for 30,33,227 is 74910
GCF of denominators i.e. for 482,309,956 is 1.
Thus, LCM of Fractions is 74910.Finally, LCM of Fractions for 30/482, 33/309, 227/956 is 74910.