7 x 8 = 56
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Multiplying the highest prime factors it is: 72
4, 8, 12, 16, 2010, 20The LCM is 20.
The lowest common multiple is 144. There's no such thing as the highest commonmultiple. If anybody ever brings you a number and tells you it's the highest commonmultiple of 36 and 48, just add 144 to his number, and show him that you've createda common multiple that's even greater than his.By the way, if you were actually asking for the highest common factor of 36 and 48,then that would be 12 .
It's a method that lets you quickly find both the greatest common factor and the least common multiple of two numbers. I am not sure how well it works for more than two numbers at a time. If you search online for "ladder method", you'll quickly find several videos that show you how to do it.
From the question's wording, this is one for you to do. The easiest way is to use exhaustive division, dividing by the largest number that will give a "complete" (no remainder) division, then working down to dividing by 2, then multiplying all the numbers you used to divide by (*not* the actual answers to each division). For a start, 180 and 288 can be divided by *at least* 6.