Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/496, 165/184, 500/990 quickly i.e. 8250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/496, 165/184, 500/990 is 8250.
LCM(33/496, 165/184, 500/990) = 8250
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/496,165/184,500/990
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 33,165,500
Least Common Multiple of Numerators i.e. LCM of 33,165,500 is 16500.
GCF of Denominators means GCF of 496,184,990 as per the given fractions.
GCF of 496,184,990 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,165,500
3 | 33, 165, 500 |
5 | 11, 55, 500 |
11 | 11, 11, 100 |
1, 1, 100 |
∴ So the LCM of the given numbers is 3 x 5 x 11 x 1 x 1 x 100 = 16500
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 33,165,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,165,500) = 1
common factors(in case of two or more numbers have common factors) = 165
GCF(33,165,500) x common factors =1 x 165 = 165
LCM(33,165,500) = ( 33 × 165 × 500 ) / 165
LCM(33,165,500) = 2722500 / 165
LCM(33,165,500) = 16500
Lets's calculate GCF of 496,184,990
2 | 496, 184, 990 |
248, 92, 495 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16500/2
Therefore the LCM of Fractions 33/496,165/184,500/990 is 8250
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 496,184,990 . The biggest common factor number is the GCF number.
So the greatest common factor 496,184,990 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 33/496, 165/184, 500/990?
Answer: LCM of Numerators as per given numbers 33/496, 165/184, 500/990 is
LCM of Numerators i.e. for 33,165,500 is 16500
GCF of denominators i.e. for 496,184,990 is 2.
Thus, LCM of Fractions is 8250.Finally, LCM of Fractions for 33/496, 165/184, 500/990 is 8250.