At a party, every second guest gets a keychain, every sixth guest gets a wallet and every eighth guest gets a pen. What is the position of the fifth guest that will get all three gifts? Give the answer in number(s). (Eg 1)
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 the first guest that receives all 3 gifts
= Lowest common multiple of 2, 6, 8
= 24
Position of the fifth guest that receives all 3 gifts
= 5 x 24
= 120
Answer(s): 120