Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/542, 3996/3001 quickly i.e. 43956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/542, 3996/3001 is 43956.
LCM(33/542, 3996/3001) = 43956
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/542,3996/3001
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 33,3996
Least Common Multiple of Numerators i.e. LCM of 33,3996 is 43956.
GCF of Denominators means GCF of 542,3001 as per the given fractions.
GCF of 542,3001 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,3996
3 | 33, 3996 |
11, 1332 |
∴ So the LCM of the given numbers is 3 x 11 x 1332 = 43956
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 33,3996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,3996) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(33,3996) x common factors =3 x 1 = 3
LCM(33,3996) = ( 33 × 3996 ) / 3
LCM(33,3996) = 131868 / 3
LCM(33,3996) = 43956
Lets's calculate GCF of 542,3001
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43956/1
Therefore the LCM of Fractions 33/542,3996/3001 is 43956
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 3001
List of positive integer factors of 3001 that divides 3001 without a remainder.
1,3001
Greatest Common Factor
We found the factors 542,3001 . The biggest common factor number is the GCF number.
So the greatest common factor 542,3001 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 33/542, 3996/3001?
Answer: LCM of Numerators as per given numbers 33/542, 3996/3001 is
LCM of Numerators i.e. for 33,3996 is 43956
GCF of denominators i.e. for 542,3001 is 1.
Thus, LCM of Fractions is 43956.Finally, LCM of Fractions for 33/542, 3996/3001 is 43956.