Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/933, 33/484, 452/268 quickly i.e. 14916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/933, 33/484, 452/268 is 14916.
LCM(12/933, 33/484, 452/268) = 14916
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/933,33/484,452/268
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 12,33,452
Least Common Multiple of Numerators i.e. LCM of 12,33,452 is 14916.
GCF of Denominators means GCF of 933,484,268 as per the given fractions.
GCF of 933,484,268 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,33,452
2 | 12, 33, 452 |
2 | 6, 33, 226 |
3 | 3, 33, 113 |
1, 11, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 11 x 113 = 14916
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 12,33,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,33,452) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(12,33,452) x common factors =1 x 12 = 12
LCM(12,33,452) = ( 12 × 33 × 452 ) / 12
LCM(12,33,452) = 178992 / 12
LCM(12,33,452) = 14916
Lets's calculate GCF of 933,484,268
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14916/1
Therefore the LCM of Fractions 12/933,33/484,452/268 is 14916
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Greatest Common Factor
We found the factors 933,484,268 . The biggest common factor number is the GCF number.
So the greatest common factor 933,484,268 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 12/933, 33/484, 452/268?
Answer: LCM of Numerators as per given numbers 12/933, 33/484, 452/268 is
LCM of Numerators i.e. for 12,33,452 is 14916
GCF of denominators i.e. for 933,484,268 is 1.
Thus, LCM of Fractions is 14916.Finally, LCM of Fractions for 12/933, 33/484, 452/268 is 14916.