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LCM of three numbers can be obtained by multiplying each factor with the greatest number of times it occurs.
Calculating the prime factors of the given numbers
34 - 2 x 17
85 - 5 x 17
102 - 2 x 3 x 17
LCM = 2 x 3 x 5 x 17 = 510
Hence, option C is the correct answer.
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