Prime factor each number.
Use each prime the most it was used in any one number.
5=5
6=2x3
8=2x2x2
12=2x2x3
2x2x2x3x5=120
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The LCD is 60. (60/4 = 15, 60/5 = 12, 60/6 = 10)
The multiples of 10 are: 1, 2, 5, 10 The multiples of 5 are: 1 and 5. The multiples of 6 are: 1, 2, 3, and 6. The multiples of 8 are: 1, 2, 4, and 8. The number that they all have in common is 1, so the lcd is one.
6
12
12