Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/495, 496/824, 965/990 quickly i.e. 15795120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/495, 496/824, 965/990 is 15795120.
LCM(33/495, 496/824, 965/990) = 15795120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/495,496/824,965/990
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 33,496,965
Least Common Multiple of Numerators i.e. LCM of 33,496,965 is 15795120.
GCF of Denominators means GCF of 495,824,990 as per the given fractions.
GCF of 495,824,990 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,496,965
Given numbers has no common factors except 1. So, there LCM is their product i.e 15795120
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 33,496,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,496,965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,496,965) x common factors =1 x 1 = 1
LCM(33,496,965) = ( 33 × 496 × 965 ) / 1
LCM(33,496,965) = 15795120 / 1
LCM(33,496,965) = 15795120
Lets's calculate GCF of 495,824,990
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15795120/1
Therefore the LCM of Fractions 33/495,496/824,965/990 is 15795120
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
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 495,824,990 . The biggest common factor number is the GCF number.
So the greatest common factor 495,824,990 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 33/495, 496/824, 965/990?
Answer: LCM of Numerators as per given numbers 33/495, 496/824, 965/990 is
LCM of Numerators i.e. for 33,496,965 is 15795120
GCF of denominators i.e. for 495,824,990 is 1.
Thus, LCM of Fractions is 15795120.Finally, LCM of Fractions for 33/495, 496/824, 965/990 is 15795120.