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To find the common multiples of two numbers, you first need to express them as the product of their prime factors. In this case, 30 and 36 can be written as:

30 = 2x3x5

36 = 2x2x3x3

The next step is to identify any common factors. In this case both numbers have a 2 and a 3 as a prime factor, so one of each can be discarded. Take every other prime factor (5, 2, 2, 3 and 3) and multiply them together:

5x2x2x3x3 = 180.

So the smallest number that 30 goes into that 36 can also go into is 180. To find other numbers, you simply multiply 180 by any integer (1,2,3,4...). Doing this, you get the first few common multiples of 30 and 36 as:

180, 360, 540, 720

Q: What does 30 go into that 36 goes into?

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