Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 671/396, 7361/2079 quickly i.e. 4939231/99 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 671/396, 7361/2079 is 4939231/99.
LCM(671/396, 7361/2079) = 4939231/99
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 671/396,7361/2079
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 671,7361
Least Common Multiple of Numerators i.e. LCM of 671,7361 is 4939231.
GCF of Denominators means GCF of 396,2079 as per the given fractions.
GCF of 396,2079 is 99 as it is the largest common factor for these numbers.
Lets's calculate LCM of 671,7361
Given numbers has no common factors except 1. So, there LCM is their product i.e 4939231
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 671,7361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,7361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(671,7361) x common factors =1 x 1 = 1
LCM(671,7361) = ( 671 × 7361 ) / 1
LCM(671,7361) = 4939231 / 1
LCM(671,7361) = 4939231
Lets's calculate GCF of 396,2079
3 | 396, 2079 |
3 | 132, 693 |
11 | 44, 231 |
4, 21 |
∴ So the GCF of the given numbers is 3 x 3 x 11 = 99
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4939231/99
Therefore the LCM of Fractions 671/396,7361/2079 is 4939231/99
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 2079
List of positive integer factors of 2079 that divides 2079 without a remainder.
1,3,7,9,11,21,27,33,63,77,99,189,231,297,693,2079
Greatest Common Factor
We found the factors 396,2079 . The biggest common factor number is the GCF number.
So the greatest common factor 396,2079 is 99.
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 671/396, 7361/2079?
Answer: LCM of Numerators as per given numbers 671/396, 7361/2079 is
LCM of Numerators i.e. for 671,7361 is 4939231
GCF of denominators i.e. for 396,2079 is 99.
Thus, LCM of Fractions is 4939231/99.Finally, LCM of Fractions for 671/396, 7361/2079 is 4939231/99.