Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 455/576, 4996/333 quickly i.e. 2273180/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 455/576, 4996/333 is 2273180/9.
LCM(455/576, 4996/333) = 2273180/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 455/576,4996/333
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 455,4996
Least Common Multiple of Numerators i.e. LCM of 455,4996 is 2273180.
GCF of Denominators means GCF of 576,333 as per the given fractions.
GCF of 576,333 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 455,4996
Given numbers has no common factors except 1. So, there LCM is their product i.e 2273180
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 455,4996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,4996) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(455,4996) x common factors =1 x 1 = 1
LCM(455,4996) = ( 455 × 4996 ) / 1
LCM(455,4996) = 2273180 / 1
LCM(455,4996) = 2273180
Lets's calculate GCF of 576,333
3 | 576, 333 |
3 | 192, 111 |
64, 37 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2273180/9
Therefore the LCM of Fractions 455/576,4996/333 is 2273180/9
Factors of 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Greatest Common Factor
We found the factors 576,333 . The biggest common factor number is the GCF number.
So the greatest common factor 576,333 is 9.
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 455/576, 4996/333?
Answer: LCM of Numerators as per given numbers 455/576, 4996/333 is
LCM of Numerators i.e. for 455,4996 is 2273180
GCF of denominators i.e. for 576,333 is 9.
Thus, LCM of Fractions is 2273180/9.Finally, LCM of Fractions for 455/576, 4996/333 is 2273180/9.