Multiple choice

The LCM of two numbers is 1575 and their HCF is 5. If one of the numbers is 15, the other number is

  1. 220

  2. 105

  3. 35

  4. 525
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D Correct answer
Explanation

Product of two numbers = LCM * HCF. 15 * x = 1575 * 5. x = (1575 * 5) / 15 = 1575 / 3 = 525.

AI explanation

Using the formula that the product of two numbers equals their LCM multiplied by their HCF, we set up the equation 15 multiplied by the unknown number equals 1575 multiplied by 5. Calculating the right side gives 7875, and dividing 7875 by 15 yields the unknown number. The other number is 525.

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