Multiple choice

The ratio of two numbers is 5: 7. If their LCM is 315, what will be the product of those numbers?

  1. 2875

  2. 2835

  3. 2385

  4. 3285
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the numbers be 5x and 7x. Their LCM is 35x = 315, so x = 9. The numbers are 45 and 63. Their product is 45 × 63 = 2835. Alternatively, for coprime ratios a:b, product = LCM × GCD. Since 5 and 7 are coprime, GCD = x = 9, so product = 315 × 9 = 2835.

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