The first six common multiples of 6 and 8 are :
24,48,72, 96, 120 and 144.
The first six common multiples of 12 and 18 are :
24, 36, 72, 108, 144, 216.
In order to resolve this, we shall use the multiples idea.
(A) The two numbers given are 6 and 8.
Six is the first multiple of which there are the following: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, and 144.
multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, and 144.
Therefore, common multiples are: 24, 48, 72, 96, 120 and 144.
(B) The two numbers given are 18 and 12.
The first few multiples of 12 are: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, and 240.
Similarly, the multiples of 18 are: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, and 270.
Therefore, common multiples are: 24, 36, 72, 108, 144, 216.
Hence we get the required common multiples.
Learn more about Multiples and factors here:
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