if p is a prime number, then find lcm and hcf of p, p²and p³
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Step-by-step explanation:
p is prime number.
To find:
the lcm of p, p2,p3.
Solution:
1) If p is a prime number it is very clear that the LCM of p, p² and p³ is p³
2) Let us take the example to prove the above statement .
3) Let p = 3, p² = 9 and p³ = 27.
4) LCM(3,9,27) = 27
Hence, the LCM of p, p² and p³ is p³.
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