Multiple choice

The HCF of two numbers is 17. Which of the following can be their LCM?

  1. 65

  2. 85

  3. 105

  4. 95
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The LCM of two numbers must be a multiple of their HCF. 85 / 17 = 5, which is an integer. The others (65, 105, 95) are not divisible by 17.

AI explanation

The HCF of two numbers must always be a factor of their LCM. We test each option to see which one is divisible by the given HCF of 17. Dividing 85 by 17 yields 5 with no remainder, whereas the other options leave a remainder. The only possible LCM is 85.

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