Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 606/327, 3355/771 quickly i.e. 677710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 606/327, 3355/771 is 677710.
LCM(606/327, 3355/771) = 677710
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 606/327,3355/771
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 606,3355
Least Common Multiple of Numerators i.e. LCM of 606,3355 is 2033130.
GCF of Denominators means GCF of 327,771 as per the given fractions.
GCF of 327,771 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 606,3355
Given numbers has no common factors except 1. So, there LCM is their product i.e 2033130
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 606,3355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,3355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(606,3355) x common factors =1 x 1 = 1
LCM(606,3355) = ( 606 × 3355 ) / 1
LCM(606,3355) = 2033130 / 1
LCM(606,3355) = 2033130
Lets's calculate GCF of 327,771
3 | 327, 771 |
109, 257 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2033130/3
Therefore the LCM of Fractions 606/327,3355/771 is 677710
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Greatest Common Factor
We found the factors 327,771 . The biggest common factor number is the GCF number.
So the greatest common factor 327,771 is 3.
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 606/327, 3355/771?
Answer: LCM of Numerators as per given numbers 606/327, 3355/771 is
LCM of Numerators i.e. for 606,3355 is 2033130
GCF of denominators i.e. for 327,771 is 3.
Thus, LCM of Fractions is 677710.Finally, LCM of Fractions for 606/327, 3355/771 is 677710.