Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/594, 45/518, 165/355 quickly i.e. 495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/594, 45/518, 165/355 is 495.
LCM(33/594, 45/518, 165/355) = 495
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/594,45/518,165/355
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 33,45,165
Least Common Multiple of Numerators i.e. LCM of 33,45,165 is 495.
GCF of Denominators means GCF of 594,518,355 as per the given fractions.
GCF of 594,518,355 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,45,165
3 | 33, 45, 165 |
5 | 11, 15, 55 |
11 | 11, 3, 11 |
1, 3, 1 |
∴ So the LCM of the given numbers is 3 x 5 x 11 x 1 x 3 x 1 = 495
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 33,45,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,45,165) = 3
common factors(in case of two or more numbers have common factors) = 165
GCF(33,45,165) x common factors =3 x 165 = 495
LCM(33,45,165) = ( 33 × 45 × 165 ) / 495
LCM(33,45,165) = 245025 / 495
LCM(33,45,165) = 495
Lets's calculate GCF of 594,518,355
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 495/1
Therefore the LCM of Fractions 33/594,45/518,165/355 is 495
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 518
List of positive integer factors of 518 that divides 518 without a remainder.
1,2,7,14,37,74,259,518
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Greatest Common Factor
We found the factors 594,518,355 . The biggest common factor number is the GCF number.
So the greatest common factor 594,518,355 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 33/594, 45/518, 165/355?
Answer: LCM of Numerators as per given numbers 33/594, 45/518, 165/355 is
LCM of Numerators i.e. for 33,45,165 is 495
GCF of denominators i.e. for 594,518,355 is 1.
Thus, LCM of Fractions is 495.Finally, LCM of Fractions for 33/594, 45/518, 165/355 is 495.