Question : The LCM of (x2 − 8x + 15) and (x2 − 5x + 6) is:
Option 1: (x − 2) (x − 3) (x − 5)
Option 2: (x − 6)2 (x + 1) (x − 3)
Option 3: (x − 6) (x + 1) (x − 3)
Option 4: (x + 6) (x + 1) (x − 3)
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Correct Answer: (x − 2) (x − 3) (x − 5)
Solution : x 2 − 8x + 15 = (x – 3) (x – 5) x 2 − 5x + 6 = (x – 2) (x – 3) So, LCM (x 2 − 8x + 15, x 2 − 5x + 6) = LCM {(x – 3), (x – 5), (x – 2) and (x – 3)} = (x – 2) (x – 3) (x − 5) Hence, the correct answer is (x – 2) (x – 3) (x − 5).
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