The LCM of the first twelve counting numbers is 27720
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12
Numbers for which the sum of the digits is divisible by 9. This is also true for 3. There are other divisibility/multiple tests for other numbers (e.g., numbers that are divisible by 5 end in 5 or 0; numbers whose last two digits are divisible by 4 are divisible by 4)
Twelve
No, that's not true. 12 itself is a multiple of 12 (has 12 as a factor), but it doesn't have 10 as a factor. However, every multiple of 12 will have 1, 2, 3, 4, 6, and 12 as factors.
The least common factor of any set of integers is 1.