Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8961/396, 3463/6996 quickly i.e. 31031943/132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8961/396, 3463/6996 is 31031943/132.
LCM(8961/396, 3463/6996) = 31031943/132
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8961/396,3463/6996
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 8961,3463
Least Common Multiple of Numerators i.e. LCM of 8961,3463 is 31031943.
GCF of Denominators means GCF of 396,6996 as per the given fractions.
GCF of 396,6996 is 132 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8961,3463
Given numbers has no common factors except 1. So, there LCM is their product i.e 31031943
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 8961,3463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8961,3463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8961,3463) x common factors =1 x 1 = 1
LCM(8961,3463) = ( 8961 × 3463 ) / 1
LCM(8961,3463) = 31031943 / 1
LCM(8961,3463) = 31031943
Lets's calculate GCF of 396,6996
2 | 396, 6996 |
2 | 198, 3498 |
3 | 99, 1749 |
11 | 33, 583 |
3, 53 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 11 = 132
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31031943/132
Therefore the LCM of Fractions 8961/396,3463/6996 is 31031943/132
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 6996
List of positive integer factors of 6996 that divides 6996 without a remainder.
1,2,3,4,6,11,12,22,33,44,53,66,106,132,159,212,318,583,636,1166,1749,2332,3498,6996
Greatest Common Factor
We found the factors 396,6996 . The biggest common factor number is the GCF number.
So the greatest common factor 396,6996 is 132.
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 8961/396, 3463/6996?
Answer: LCM of Numerators as per given numbers 8961/396, 3463/6996 is
LCM of Numerators i.e. for 8961,3463 is 31031943
GCF of denominators i.e. for 396,6996 is 132.
Thus, LCM of Fractions is 31031943/132.Finally, LCM of Fractions for 8961/396, 3463/6996 is 31031943/132.