Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9087/396, 6743/366 quickly i.e. 61273641/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9087/396, 6743/366 is 61273641/6.
LCM(9087/396, 6743/366) = 61273641/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9087/396,6743/366
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 9087,6743
Least Common Multiple of Numerators i.e. LCM of 9087,6743 is 61273641.
GCF of Denominators means GCF of 396,366 as per the given fractions.
GCF of 396,366 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9087,6743
Given numbers has no common factors except 1. So, there LCM is their product i.e 61273641
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 9087,6743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9087,6743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9087,6743) x common factors =1 x 1 = 1
LCM(9087,6743) = ( 9087 × 6743 ) / 1
LCM(9087,6743) = 61273641 / 1
LCM(9087,6743) = 61273641
Lets's calculate GCF of 396,366
2 | 396, 366 |
3 | 198, 183 |
66, 61 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61273641/6
Therefore the LCM of Fractions 9087/396,6743/366 is 61273641/6
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 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Greatest Common Factor
We found the factors 396,366 . The biggest common factor number is the GCF number.
So the greatest common factor 396,366 is 6.
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 9087/396, 6743/366?
Answer: LCM of Numerators as per given numbers 9087/396, 6743/366 is
LCM of Numerators i.e. for 9087,6743 is 61273641
GCF of denominators i.e. for 396,366 is 6.
Thus, LCM of Fractions is 61273641/6.Finally, LCM of Fractions for 9087/396, 6743/366 is 61273641/6.