Multiple choice

If the sum of LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF, then the product of two numbers is.

  1. 203400

  2. 194400

  3. 198400

  4. 205400
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let HCF = x, then LCM = x + 900. Given: x + (x + 900) = 1260, so 2x = 360, x = 180. Thus HCF = 180 and LCM = 1080. Product of two numbers = HCF × LCM = 180 × 1080 = 194400. This is a fundamental property: for any two numbers, Product = HCF × LCM.

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