We are required to write a JavaScript function that takes in a number as the only input. The function should find the smallest such number which is exactly divisible by all the first n natural numbers.
For example −
For n = 4, the output should be 12,
because 12 is the smallest number which is divisible by 1 and 2 and 3 and 4.
Example
The code for this will be −
const smallestMultiple = num => { let res = 0; let i = 1; let found = false; while (found === false) { res += num; while (res % i === 0 && i <= num) { if (i === num) { found = true; }; i++; }; i = 1; }; return res; }; console.log(smallestMultiple(2)); console.log(smallestMultiple(4)); console.log(smallestMultiple(12)); console.log(smallestMultiple(15));
Output
And the output in the console will be −
2 12 27720 360360