Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3622/996, 8061/6672 quickly i.e. 29196942/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3622/996, 8061/6672 is 29196942/12.
LCM(3622/996, 8061/6672) = 29196942/12
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3622/996,8061/6672
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 3622,8061
Least Common Multiple of Numerators i.e. LCM of 3622,8061 is 29196942.
GCF of Denominators means GCF of 996,6672 as per the given fractions.
GCF of 996,6672 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3622,8061
Given numbers has no common factors except 1. So, there LCM is their product i.e 29196942
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 3622,8061 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3622,8061) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3622,8061) x common factors =1 x 1 = 1
LCM(3622,8061) = ( 3622 × 8061 ) / 1
LCM(3622,8061) = 29196942 / 1
LCM(3622,8061) = 29196942
Lets's calculate GCF of 996,6672
2 | 996, 6672 |
2 | 498, 3336 |
3 | 249, 1668 |
83, 556 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29196942/12
Therefore the LCM of Fractions 3622/996,8061/6672 is 29196942/12
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Factors of 6672
List of positive integer factors of 6672 that divides 6672 without a remainder.
1,2,3,4,6,8,12,16,24,48,139,278,417,556,834,1112,1668,2224,3336,6672
Greatest Common Factor
We found the factors 996,6672 . The biggest common factor number is the GCF number.
So the greatest common factor 996,6672 is 12.
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 3622/996, 8061/6672?
Answer: LCM of Numerators as per given numbers 3622/996, 8061/6672 is
LCM of Numerators i.e. for 3622,8061 is 29196942
GCF of denominators i.e. for 996,6672 is 12.
Thus, LCM of Fractions is 29196942/12.Finally, LCM of Fractions for 3622/996, 8061/6672 is 29196942/12.