48 72 96 120 144 168 192 216 240
and so on ...
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Well, darling, the multiples of 24 are any number that you get when you multiply 24 by another whole number. So, you've got 24, 48, 72, 96, and so on. You catch my drift? Just keep adding 24 to each previous number and you've got yourself a nice little list of multiples.
The common multiples of 3, 4, and 8 are numbers that are divisible by all three of these numbers. To find the common multiples, we first list the multiples of each number: Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, ... Multiples of 4: 4, 8, 12, 16, 20, 24, ... Multiples of 8: 8, 16, 24, 32, ... The common multiples of 3, 4, and 8 are 24, 48, and so on, as they are the numbers that appear in the lists of multiples of all three numbers.
Lists of multiples are infinite.
List the multiples.4, 8, 12, 16, 20, 24, 286, 12, 18, 24, 308, 16, 24, 3224 is the smallest number on all the lists, the LCM.
By making of table of their values, and when you find a multiple that matches, that's the LCM. The answer is 24