Explanation:

Here’s the thing:

- LCM × HCF = Product of the two numbers. This rule always holds for two numbers.

- Plug in what we know: 2079 (LCM) × 27 (HCF) = 56133.

- One number is 189.

- Let’s find the other: 56133 ÷ 189 = 297.

- So, the other number must be 297.

Now, let’s look at the options:

- Option 1: 297 –  Correct. This is the number we calculated.

- Option 2: 584 – Not correct. It doesn’t fit the product equation.

- Option 3: 189 – Nope. They’d both be the same, but that doesn’t multiply to the right product.

- Option 4: 216 – Doesn’t work either.