Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/385, 12/798, 171/408 quickly i.e. 7524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/385, 12/798, 171/408 is 7524.
LCM(33/385, 12/798, 171/408) = 7524
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/385,12/798,171/408
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 33,12,171
Least Common Multiple of Numerators i.e. LCM of 33,12,171 is 7524.
GCF of Denominators means GCF of 385,798,408 as per the given fractions.
GCF of 385,798,408 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,12,171
3 | 33, 12, 171 |
11, 4, 57 |
∴ So the LCM of the given numbers is 3 x 11 x 4 x 57 = 7524
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 33,12,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,12,171) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(33,12,171) x common factors =3 x 3 = 9
LCM(33,12,171) = ( 33 × 12 × 171 ) / 9
LCM(33,12,171) = 67716 / 9
LCM(33,12,171) = 7524
Lets's calculate GCF of 385,798,408
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7524/1
Therefore the LCM of Fractions 33/385,12/798,171/408 is 7524
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 385,798,408 . The biggest common factor number is the GCF number.
So the greatest common factor 385,798,408 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 33/385, 12/798, 171/408?
Answer: LCM of Numerators as per given numbers 33/385, 12/798, 171/408 is
LCM of Numerators i.e. for 33,12,171 is 7524
GCF of denominators i.e. for 385,798,408 is 1.
Thus, LCM of Fractions is 7524.Finally, LCM of Fractions for 33/385, 12/798, 171/408 is 7524.