So this is the question The number 108 is the LCM(least common multiple) of 36 and 54.list the multiple of 36 and 54.Explain your reasoning.Plisite help me whit this is actually my homework for tomorrow plis help
List the multiples of 36.
List the multiples of 54.
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Sure, I'd be happy to help you with your homework question!
To list the multiples of two numbers, we need to find numbers that can be divided evenly by both of those numbers. In this case, we want to find the multiples of 36 and 54.
Let's start with finding the multiples of 36. The multiples of 36 are obtained by multiplying 36 by any whole number. We can start by listing the first few multiples:
1 x 36 = 36
2 x 36 = 72
3 x 36 = 108
4 x 36 = 144
5 x 36 = 180
...
Now, let's move on to finding the multiples of 54. Similar to the previous step, we multiply 54 by any whole number:
1 x 54 = 54
2 x 54 = 108
3 x 54 = 162
4 x 54 = 216
5 x 54 = 270
...
Note that we have already found 108 as one of the multiples of both 36 and 54. In fact, 108 is the least common multiple (LCM) of 36 and 54, which means it is the smallest number that is a multiple of both 36 and 54.
So, the multiples of 36 are 36, 72, 108, 144, 180, and so on. The multiples of 54 are 54, 108, 162, 216, 270, and so on. It is clear that 108 is a common multiple of both 36 and 54, as it appears in both lists.
To summarize, the multiples of 36 are 36, 72, 108, 144, 180, and so on, while the multiples of 54 are 54, 108, 162, 216, 270, and so on. The least common multiple (LCM) of 36 and 54 is 108.