Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 666/227, 5355/7195 quickly i.e. 396270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 666/227, 5355/7195 is 396270.
LCM(666/227, 5355/7195) = 396270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 666/227,5355/7195
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 666,5355
Least Common Multiple of Numerators i.e. LCM of 666,5355 is 396270.
GCF of Denominators means GCF of 227,7195 as per the given fractions.
GCF of 227,7195 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 666,5355
3 | 666, 5355 |
3 | 222, 1785 |
74, 595 |
∴ So the LCM of the given numbers is 3 x 3 x 74 x 595 = 396270
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 666,5355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,5355) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(666,5355) x common factors =9 x 1 = 9
LCM(666,5355) = ( 666 × 5355 ) / 9
LCM(666,5355) = 3566430 / 9
LCM(666,5355) = 396270
Lets's calculate GCF of 227,7195
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 396270/1
Therefore the LCM of Fractions 666/227,5355/7195 is 396270
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Factors of 7195
List of positive integer factors of 7195 that divides 7195 without a remainder.
1,5,1439,7195
Greatest Common Factor
We found the factors 227,7195 . The biggest common factor number is the GCF number.
So the greatest common factor 227,7195 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 666/227, 5355/7195?
Answer: LCM of Numerators as per given numbers 666/227, 5355/7195 is
LCM of Numerators i.e. for 666,5355 is 396270
GCF of denominators i.e. for 227,7195 is 1.
Thus, LCM of Fractions is 396270.Finally, LCM of Fractions for 666/227, 5355/7195 is 396270.