At a party, every 2nd guest gets a cup, every 6th guest gets a mug and every 8th guest gets a keychain. What is the position of the first guest that will get all three gifts?
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
Multiples of 6: 6, 12, 18, 24
Multiples of 8: 8, 16, 24
Position of first guest that receives all 3 gifts
= Lowest common multiple of 2, 6, 8
= 24
Answer(s): 24