Multiple choice

The HCF of two numbers is 96 and their LCM is 1296. If one number is 864, then the other is

  1. 72

  2. 64

  3. 144

  4. 11664
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C Correct answer
Explanation

The product of two numbers equals the product of their HCF and LCM. 864 * x = 96 * 1296. x = (96 * 1296) / 864 = 144.

AI explanation

For any two numbers, the first number times the second number equals LCM times HCF. Letting the unknown number be y gives 864 times y = 1296 times 96. Dividing 124416 by 864 results in y = 144.

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