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HCF & LCM · Question 39 of 63

Question 39

EasyOriginal question

A coach wants a group of players that can be split exactly into teams of 8, of 12 or of 20. What is the smallest possible size of the group?

Options for question 39

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. The group size must be a common multiple of 8, 12 and 20.

  2. LCM = 23×3×5=1202^3 \times 3 \times 5 = 120.

Worth noting

24 works for 8 and 12 but not 20; 40 for 8 and 20 but not 12; 60 for 12 and 20 but not 8.

Concept
LCM for the smallest common group
Typical time
40 s
Your time
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