Multiple choice

The LCM and HCF of two numbers are 7200 and 1200, respectively. If one of the numbers is 2400, find the other number.

  1. 3200

  2. 3600

  3. 360

  4. 320

  5. 330
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The product of two numbers equals the product of their LCM and HCF. 2400 * x = 7200 * 1200. x = (7200 * 1200) / 2400 = 3 * 1200 = 3600.

AI explanation

Using the identity that the product of two numbers equals the product of their least common multiple and highest common factor, we set up the equation Number One * Number Two = LCM * HCF. Substituting the given values gives 2400 * Unknown Number = 7200 * 1200. Solving for the unknown number by dividing 8640000 by 2400 yields 3600. The answer is 3600.

Keep practicing — related questions