Round 12

Date released: June 6th, 2001.
Date rewarded: June 13th, 2001.

Mrs. Doyle the Housekeeper JubJub has made a big, big pile of sandwiches for the party of Skeiths visiting her house tonight. When she counts them, she realises that she can equally split the sandwiches between two Skeiths and have none left over. She can also split them between three Skeiths, four Skeiths, five Skeiths and six Skeiths equally and every time there will be no sandwiches left over.

What is the smallest amount of sandwiches that Mrs. Doyle could have made?

Prize
Unknown

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The number of sandwiches is divisible by 2, 3, 4, 5 and 6. We want the find the least common multiple of the above numbers.

2 = 2
3 = 3
4 = 2²
5 = 5
6 = 2 * 3

The least common multiple is:

2² * 3 * 5 = 60

Therefore, the number of sandwiches is 60.