If Q is a prime number, then what is the LCM of Q, Q² and Q³?
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Answer:
HCF = q
LCM = q ^ 4
Step-by-step explanation:
Since q is a prime number, the factors of q are q and 1.
Factors of q ^2 = q, q ^ 2, 1
Factors of q ^ 4 = q, q ^ 2, q ^ 3, q ^ 4, 1
HCF = Product of least powers of common factors = q × 1 = q
LCM = Product of highest powers of common factors = q ^ 4 × 1 = q ^ 4
Step-by-step explanation:
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