Help me please I know the answer but need the work
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Find the smallest number that has of factors of 2, 3, 4, 5, 6, 7, 8 ,9 ,10
If the number has all of these values as factors, then the number is of the form 2*a = 3*b = 4*c = ... and so forth. In other words, it has all of these values in some form of its factorization. For instance, 2, 3, 4, 6, and 12 are factors of 12, because 2*6 = 12, 3*4 = 12, and 1*12 = 12. In other words, your target number is a
multiple, in some manner, of each of these factors. Since it contains each of these factors, in some manner, this multiple is
common to each of these factors.
If you're talking about the
smallest number having all of these factors, then you have to consider duplicates. For instance, 2 is a factor of 4, 6, and 12; and 3 is a factor of 6 and 12. So you're looking for the
least such number.
Hint: Consider the italicised words above. Where does this lead? (
here)
