### Step 1: Analyze the conditions
We can find that if we add 1 person to the number of people participating in the sports meeting, then the number of people can be exactly divided by 2, 3, 4, 5, and 6.
### Step 2: Find the least common multiple of 2, 3, 4, 5, and 6
- Prime factorize each number:
- \(2 = 2\)
- \(3 = 3\)
- \(4 = 2\times2\)
- \(5 = 5\)
- \(6 = 2\times3\)
- The least common multiple is the product of the highest powers of all prime factors involved. So the least common multiple of 2, 3, 4, 5, and 6 is \(2\times2\times3\times5= 60\)
### Step 3: Find the number of people participating in the sports meeting
Since adding 1 person makes it divisible by 60, then the number of people participating in the sports meeting is \(60 - 1 = 59\)
So the school has at least 59 people participating in this sports meeting.
The translated text is:### Step 1: Analyze the conditions
We can find that if we add 1 person to the number of people participating in the sports meeting, then the number of people can be exactly divided by 2, 3, 4, 5, and 6.
### Step 2: Find the least common multiple of 2, 3, 4, 5, and 6
- Prime factorize each number:
- \(2 = 2\)
- \(3 = 3\)
- \(4 = 2\times2\)
- \(5 = 5\)
- \(6 = 2\times3\)
- The least common multiple is the product of the highest powers of all prime factors involved. So the least common multiple of 2, 3, 4, 5, and 6 is \(2\times2\times3\times5 = 60\)
### Step 3: Find the number of people participating in the sports meeting
Since adding 1 person makes it divisible by 60, then the number of people participating in the sports meeting is \(60 - 1 = 59\)
So the school has at least 59 people participating in this sports meeting.
@set c= 不知则觉多,知则觉少,越知越多,便觉越来越少. --- 知多少.
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