How many of the first 500 positive integers are divisible by 3, 4 and 5?

Firewolf  Jun 17, 2018

The least common multiple of 3,4, and 5 is the smallest integer that is also divisible by 3,4, and 5. Because 3,4, and 5 do not share any common factors, the least common multiple can be determined by finding the product of 3,4, and 5. 




All multiples of 60 bounded between 1 and 500 are the only integers that satisfy the original condition. \(500/60\) or \(8.\overline{3}\) represents the number of multiples of 60. Of course, multiples can only be counted as whole numbers, so there are only 8 integers that are divisible by 3,4, and 5. 

TheXSquaredFactor  Jun 17, 2018
edited by TheXSquaredFactor  Jun 17, 2018

7 Online Users


New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.