At a party, every 2nd guest gets a keychain, every 6th guest gets a cup and every 10th guest gets a mug. 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, 26, 28, 30
Multiples of 6: 6, 12, 18, 24, 30
Multiples of 10: 10, 20, 30
Position of first guest that receives all 3 gifts
= Lowest common multiple of 2, 6, 10
= 30
Answer(s): 30
