Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/366, 33/338, 617/146 quickly i.e. 631191/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/366, 33/338, 617/146 is 631191/2.
LCM(93/366, 33/338, 617/146) = 631191/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/366,33/338,617/146
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 93,33,617
Least Common Multiple of Numerators i.e. LCM of 93,33,617 is 631191.
GCF of Denominators means GCF of 366,338,146 as per the given fractions.
GCF of 366,338,146 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,33,617
3 | 93, 33, 617 |
31, 11, 617 |
∴ So the LCM of the given numbers is 3 x 31 x 11 x 617 = 631191
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 93,33,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,33,617) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(93,33,617) x common factors =1 x 3 = 3
LCM(93,33,617) = ( 93 × 33 × 617 ) / 3
LCM(93,33,617) = 1893573 / 3
LCM(93,33,617) = 631191
Lets's calculate GCF of 366,338,146
2 | 366, 338, 146 |
183, 169, 73 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 631191/2
Therefore the LCM of Fractions 93/366,33/338,617/146 is 631191/2
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Greatest Common Factor
We found the factors 366,338,146 . The biggest common factor number is the GCF number.
So the greatest common factor 366,338,146 is 2.
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 93/366, 33/338, 617/146?
Answer: LCM of Numerators as per given numbers 93/366, 33/338, 617/146 is
LCM of Numerators i.e. for 93,33,617 is 631191
GCF of denominators i.e. for 366,338,146 is 2.
Thus, LCM of Fractions is 631191/2.Finally, LCM of Fractions for 93/366, 33/338, 617/146 is 631191/2.