Multiple choice

The $LCM$ of two numbers is $64699$. $HCF$ is $97$ and one of the numbers is $2231$. Find the other number.

  1. $2813$
  2. $2814$
  3. $2816$
  4. $2818$
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A Correct answer
Explanation

The product of two numbers equals the product of their HCF and LCM. Therefore, the other number = (HCF * LCM) / given number = (97 * 64699) / 2231 = 6275803 / 2231 = 2813.

AI explanation

Use the formula for the product of two numbers, which states that the product of the numbers equals the product of their LCM and HCF. Let the unknown number be x, so 2231 * x = 64699 * 97. Calculate x by dividing the product of the LCM and HCF by the known number: x = (64699 * 97) / 2231, which simplifies to 2813. The other number is 2813.

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