Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 327/211, 7644/6205 quickly i.e. 833196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 327/211, 7644/6205 is 833196.
LCM(327/211, 7644/6205) = 833196
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 327/211,7644/6205
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 327,7644
Least Common Multiple of Numerators i.e. LCM of 327,7644 is 833196.
GCF of Denominators means GCF of 211,6205 as per the given fractions.
GCF of 211,6205 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 327,7644
3 | 327, 7644 |
109, 2548 |
∴ So the LCM of the given numbers is 3 x 109 x 2548 = 833196
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 327,7644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,7644) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(327,7644) x common factors =3 x 1 = 3
LCM(327,7644) = ( 327 × 7644 ) / 3
LCM(327,7644) = 2499588 / 3
LCM(327,7644) = 833196
Lets's calculate GCF of 211,6205
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 833196/1
Therefore the LCM of Fractions 327/211,7644/6205 is 833196
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 6205
List of positive integer factors of 6205 that divides 6205 without a remainder.
1,5,17,73,85,365,1241,6205
Greatest Common Factor
We found the factors 211,6205 . The biggest common factor number is the GCF number.
So the greatest common factor 211,6205 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 327/211, 7644/6205?
Answer: LCM of Numerators as per given numbers 327/211, 7644/6205 is
LCM of Numerators i.e. for 327,7644 is 833196
GCF of denominators i.e. for 211,6205 is 1.
Thus, LCM of Fractions is 833196.Finally, LCM of Fractions for 327/211, 7644/6205 is 833196.