Math, asked by nayana12445, 1 year ago

if p is prime number what is the lcm of p, p2,p3

Answers

Answered by DevendraLal
246

Given:

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.

Answered by aakankshachoudhary20
93

Answer:

Given :

P is a prime no..

So the lcm of p, p2, p3 is p3

For example....

Let as take p as 2

p2 is 4 and p3 is 8

Lcm of (2,4,8)=2×2×2 =8

So it is p3

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