Multiple choice

There are $4$ numbers. The HCF of each pair is $7$ and the LCM of all the numbers is $1470$. What is the product of the 4 numbers?

  1. $504210$
  2. $502410$
  3. $504120$
  4. $501420$
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A Correct answer
AI explanation

Let the four numbers be 7a, 7b, 7c and 7d. The LCM is 7abcd = 1470, giving abcd = 210. The product of the four numbers is (7a)(7b)(7c)(7d) = 7^4 * abcd = 2401 * 210 = 504210. The product is 504210.

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