Answer to Question #335260 in Combinatorics | Number Theory for ...

Question

How many integers form 1 to 500 are divisible by 2, 3, 4, and5?

Answer 1

500/2=250 numbers are divisible by 2, 

500/3= 166 numbers are divisible by 3. 

500/4= 125 numbers are divisible by 4, 

500/5= 100 numbers are divisible by 5. 

$$3(4)(5)=60$$

500/60=8 numbers are divisible by 2, 3, 4, and 5 simultaneously.