Multiple choice

The HCF of two numbers is 23 and other two factors of their LCM are 13 and 14. The larger of the two numbers is

  1. 276

  2. 299

  3. 345

  4. 322
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

If HCF is 23, numbers are of form 23a and 23b where a,b are coprime. LCM factors include 13 and 14 besides HCF. So possible numbers are 23×13=299 and 23×14=322. Option C (345) equals 23×15 - a distractor using 15 instead of the actual factors. The larger number is 322.

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