What are the first two common multiples of 36 and 48?
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To find the first two common multiples of 36 and 48, we will start by listing the first few multiples of each number and looking for common values.
Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360...
Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480...
By comparing the two lists, we can see that 144 is a multiple of both 36 and 48. So, 144 is one common multiple.
To find the second common multiple, we continue listing the multiples:
Multiples of 36: 36, 72, 108, 144, 180...
Multiples of 48: 48, 96, 144, 192, 240...
Now, we see that 288 is the next common multiple of both 36 and 48.
So, the first two common multiples of 36 and 48 are 144 and 288.
36=12*3 and 48=12*4, so the LCM(36,48) = 12*LCM(3,4) = 12*12 = 144
So, ...