Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9100/450, 9230/287 quickly i.e. 646100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9100/450, 9230/287 is 646100.
LCM(9100/450, 9230/287) = 646100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9100/450,9230/287
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 9100,9230
Least Common Multiple of Numerators i.e. LCM of 9100,9230 is 646100.
GCF of Denominators means GCF of 450,287 as per the given fractions.
GCF of 450,287 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9100,9230
2 | 9100, 9230 |
5 | 4550, 4615 |
13 | 910, 923 |
70, 71 |
∴ So the LCM of the given numbers is 2 x 5 x 13 x 70 x 71 = 646100
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 9100,9230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9100,9230) = 130
common factors(in case of two or more numbers have common factors) = 1
GCF(9100,9230) x common factors =130 x 1 = 130
LCM(9100,9230) = ( 9100 × 9230 ) / 130
LCM(9100,9230) = 83993000 / 130
LCM(9100,9230) = 646100
Lets's calculate GCF of 450,287
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 646100/1
Therefore the LCM of Fractions 9100/450,9230/287 is 646100
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Greatest Common Factor
We found the factors 450,287 . The biggest common factor number is the GCF number.
So the greatest common factor 450,287 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 9100/450, 9230/287?
Answer: LCM of Numerators as per given numbers 9100/450, 9230/287 is
LCM of Numerators i.e. for 9100,9230 is 646100
GCF of denominators i.e. for 450,287 is 1.
Thus, LCM of Fractions is 646100.Finally, LCM of Fractions for 9100/450, 9230/287 is 646100.