Area of each tile = 18in x 18 in = 1.5 ft * 1.5 ft = 2.25 sq ft.
Number of tiles required = 670/2.25 = 297.77... tiles, that is a minimum of 298 tiles.
That is the mathematical answer. It assumes that the shape to be covered is "well-behaved", that almost all offcuts are used and that there is almost no wastage. In real life all three assumptions are unrealistic and you should make an allowance of 5-7% - more if you are not an expert.
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266.666666666 so rounding up 267 tiles.
67 tiles.
10
100 tiles or 96 which is the correct amount
288