There is a pile of apples. There are two left in three places, three left in four books, and four left in five books. How many apples are there in this pile? A piece of rectangular paper is 24 cm long and 8 cm wide. If you cut it into the same small square, you can't waste it. What is the maximum area of a small square? How many pieces can you cut into?

There is a pile of apples. There are two left in three places, three left in four books, and four left in five books. How many apples are there in this pile? A piece of rectangular paper is 24 cm long and 8 cm wide. If you cut it into the same small square, you can't waste it. What is the maximum area of a small square? How many pieces can you cut into?

1: If there is one more apple, the number of three is not left, the number of four is not left, the number of five is not left, so the number of apples + 1 is the least common multiple of 3,4,5 = 3 * 4 * 5 = 60, so the number of apples is at least 60-1 = 59; 2: because it can not produce waste, it can not be cut obliquely, otherwise one