Question:medium

How many numbers between 1 and 200 are divisible by both 6 and 8?

Updated On: Jul 10, 2026
  • 8
  • 6
  • 12
  • 4
Show Solution

The Correct Option is A

Solution and Explanation

Step 1: Divisible by both 6 and 8 means divisible by \(\text{LCM}(6,8)=24\).
Step 2: Multiples of 24 up to 200: \(24,48,\dots,192\), i.e. \(\lfloor 200/24\rfloor = 8\) numbers.

Quick Tip: Divisible by two numbers = divisible by their LCM.
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