Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/483, 54/466, 183/544 quickly i.e. 65880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/483, 54/466, 183/544 is 65880.
LCM(40/483, 54/466, 183/544) = 65880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/483,54/466,183/544
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 40,54,183
Least Common Multiple of Numerators i.e. LCM of 40,54,183 is 65880.
GCF of Denominators means GCF of 483,466,544 as per the given fractions.
GCF of 483,466,544 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,54,183
2 | 40, 54, 183 |
3 | 20, 27, 183 |
20, 9, 61 |
∴ So the LCM of the given numbers is 2 x 3 x 20 x 9 x 61 = 65880
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 40,54,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,54,183) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(40,54,183) x common factors =1 x 6 = 6
LCM(40,54,183) = ( 40 × 54 × 183 ) / 6
LCM(40,54,183) = 395280 / 6
LCM(40,54,183) = 65880
Lets's calculate GCF of 483,466,544
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65880/1
Therefore the LCM of Fractions 40/483,54/466,183/544 is 65880
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Greatest Common Factor
We found the factors 483,466,544 . The biggest common factor number is the GCF number.
So the greatest common factor 483,466,544 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 40/483, 54/466, 183/544?
Answer: LCM of Numerators as per given numbers 40/483, 54/466, 183/544 is
LCM of Numerators i.e. for 40,54,183 is 65880
GCF of denominators i.e. for 483,466,544 is 1.
Thus, LCM of Fractions is 65880.Finally, LCM of Fractions for 40/483, 54/466, 183/544 is 65880.