Have you encountered this task before? What mathematical property did you use when deciding to check divisibility by 15 instead of simultaneous divisibility by 3 and 5?

Yes, this task is known as the classic FizzBuzz problem.

The mathematical property used when checking divisibility by 15 instead of simultaneously checking divisibility by 3 and 5 is the least common multiple (LCM).

Explanation:

• A number is divisible by 15 if and only if it is divisible by both 3 and 5.
• Instead of checking (num % 3 === 0 && num % 5 === 0), you can check num % 15 === 0.

This simplifies the condition and improves code readability.

Example:

for (let i = 1; i <= 100; i++) {
  if (i % 15 === 0) {
    console.log('FizzBuzz');
  } else if (i % 3 === 0) {
    console.log('Fizz');
  } else if (i % 5 === 0) {
    console.log('Buzz');
  } else {
    console.log(i);
  }
}