Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 333/88, 595/33, 335/264 quickly i.e. 13275045/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 333/88, 595/33, 335/264 is 13275045/11.
LCM(333/88, 595/33, 335/264) = 13275045/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 333/88,595/33,335/264
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 333,595,335
Least Common Multiple of Numerators i.e. LCM of 333,595,335 is 13275045.
GCF of Denominators means GCF of 88,33,264 as per the given fractions.
GCF of 88,33,264 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 333,595,335
5 | 333, 595, 335 |
333, 119, 67 |
∴ So the LCM of the given numbers is 5 x 333 x 119 x 67 = 13275045
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 333,595,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,595,335) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(333,595,335) x common factors =1 x 5 = 5
LCM(333,595,335) = ( 333 × 595 × 335 ) / 5
LCM(333,595,335) = 66375225 / 5
LCM(333,595,335) = 13275045
Lets's calculate GCF of 88,33,264
11 | 88, 33, 264 |
8, 3, 24 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13275045/11
Therefore the LCM of Fractions 333/88,595/33,335/264 is 13275045/11
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Greatest Common Factor
We found the factors 88,33,264 . The biggest common factor number is the GCF number.
So the greatest common factor 88,33,264 is 11.
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 333/88, 595/33, 335/264?
Answer: LCM of Numerators as per given numbers 333/88, 595/33, 335/264 is
LCM of Numerators i.e. for 333,595,335 is 13275045
GCF of denominators i.e. for 88,33,264 is 11.
Thus, LCM of Fractions is 13275045/11.Finally, LCM of Fractions for 333/88, 595/33, 335/264 is 13275045/11.