Yes.
The common multiples are:
30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930, 960, 990, 1020, 1050, 1080, 1110, 1140, 1170, 1200, 1230, 1260, 1290, 1320, 1350, 1380, 1410, 1440, 1470, 1500, 1530, 1560, 1590, 1620, 1650, 1680, 1710, 1740, 1770, 1800, 1830, 1860, 1890, 1920, 1950, 1980, 2010, 2040, 2070, 2100, 2130, 2160, 2190, 2220, 2250, 2280, 2310, 2340, 2370, 2400, 2430, 2460, 2490, 2520, 2550, 2580, 2610, 2640, 2670, 2700, 2730, 2760, 2790, 2820, 2850, 2880, 2910, 2940, 2970, 3000, ...
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The six times tables are any and all multiples of 6. Therefore, any numbers that divide evenly by 6 will be in the six times tables, and any that don't won't be. 90/6 = 15, and so 90 does divide evenly by 6. Thus, 90 is in the six times tables.
Thy are 144 and any of its multiples
This cannot be answered because the common multiples of any two or more numbers are infinite.
Yes, any two numbers will pretty much always have common multiples. 238, 476, and 714 are some of them.
There is an infinite number of common multiples for 40 and 50. A common multiple of any two numbers is any number into which each of two or more numbers can be divided evenly (zero remainder).