Answer:
I think its 6 numbers . See below
Step-by-step explanation:
The numbers must end in 0 because they must be divisible by 2 and 5
240 is one number it is the first number between 200 and 500 which is divisible by the 5 numbers.
The LCM of the 5 numbers is 60 so we can add 300, 360, 420 and 480 to the list.
There are 5 counting numbers from 200 to 500 are divisible by 2, 3, 4,5 and 6
From the question, we have the following highlights:
The first number between 200 and 500 that satisfies the above highlights is 240.
Next, we take the LCM of the numbers;
[tex]\mathbf{2 = 1 \times 2}[/tex]
[tex]\mathbf{3 = 1 \times 3}[/tex]
[tex]\mathbf{4 = 1 \times 2 \times 2}[/tex]
[tex]\mathbf{5 = 1 \times 5}[/tex]
[tex]\mathbf{6 = 1 \times 2 \times 3}[/tex]
So, the LCM is:
[tex]\mathbf{LCM = 1 \times 2 \times 2 \times 3 \times 5}[/tex]
[tex]\mathbf{LCM = 60}[/tex]
Add 60 to 240.
Repeat the addition till the number gets to 500
So, the numbers are: [tex]\mathbf{240, 300, 360, 420, 480}[/tex]
So, the count of numbers is 5
Read more about counting numbers at:
https://brainly.com/question/17434124
