Question

How many of the first 100 positive integers are divisible by 5, 6 and/or 7?

Answer 1

Answer:

There are 0 numbers divisible by 5,6 and 7 in the first 100 positive integers

Step-by-step explanation:

We know that,if a number is divisible by p and q, then it is also divisible by the LCM of p and q.

The LCM of 5,6 and 7

5 = 5×1

6 = 2×3

7 = 7×1

LCM of 5, 6, 7 is

5×2×3×7 =

Therefore, 210 is the only number (more than 100) divisible by 5,6,7