Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/287, 89/463, 405/200 quickly i.e. 36045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/287, 89/463, 405/200 is 36045.
LCM(45/287, 89/463, 405/200) = 36045
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/287,89/463,405/200
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 45,89,405
Least Common Multiple of Numerators i.e. LCM of 45,89,405 is 36045.
GCF of Denominators means GCF of 287,463,200 as per the given fractions.
GCF of 287,463,200 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,89,405
3 | 45, 89, 405 |
3 | 15, 89, 135 |
5 | 5, 89, 45 |
1, 89, 9 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 89 x 9 = 36045
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 45,89,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,89,405) = 1
common factors(in case of two or more numbers have common factors) = 45
GCF(45,89,405) x common factors =1 x 45 = 45
LCM(45,89,405) = ( 45 × 89 × 405 ) / 45
LCM(45,89,405) = 1622025 / 45
LCM(45,89,405) = 36045
Lets's calculate GCF of 287,463,200
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36045/1
Therefore the LCM of Fractions 45/287,89/463,405/200 is 36045
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 287,463,200 . The biggest common factor number is the GCF number.
So the greatest common factor 287,463,200 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 45/287, 89/463, 405/200?
Answer: LCM of Numerators as per given numbers 45/287, 89/463, 405/200 is
LCM of Numerators i.e. for 45,89,405 is 36045
GCF of denominators i.e. for 287,463,200 is 1.
Thus, LCM of Fractions is 36045.Finally, LCM of Fractions for 45/287, 89/463, 405/200 is 36045.