Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/320, 281/216, 433/227 quickly i.e. 6935361 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/320, 281/216, 433/227 is 6935361.
LCM(57/320, 281/216, 433/227) = 6935361
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/320,281/216,433/227
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 57,281,433
Least Common Multiple of Numerators i.e. LCM of 57,281,433 is 6935361.
GCF of Denominators means GCF of 320,216,227 as per the given fractions.
GCF of 320,216,227 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,281,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 6935361
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 57,281,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,281,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,281,433) x common factors =1 x 1 = 1
LCM(57,281,433) = ( 57 × 281 × 433 ) / 1
LCM(57,281,433) = 6935361 / 1
LCM(57,281,433) = 6935361
Lets's calculate GCF of 320,216,227
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6935361/1
Therefore the LCM of Fractions 57/320,281/216,433/227 is 6935361
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Greatest Common Factor
We found the factors 320,216,227 . The biggest common factor number is the GCF number.
So the greatest common factor 320,216,227 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 57/320, 281/216, 433/227?
Answer: LCM of Numerators as per given numbers 57/320, 281/216, 433/227 is
LCM of Numerators i.e. for 57,281,433 is 6935361
GCF of denominators i.e. for 320,216,227 is 1.
Thus, LCM of Fractions is 6935361.Finally, LCM of Fractions for 57/320, 281/216, 433/227 is 6935361.