If p is a prime number then LCM of p , p2, p3 is :

A ) p

B ) p3

C ) p2

D ) p6

 Option 3. P3

p=p

p2=p*p

p3=p*p*p

therefore. LCM is p3

 

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  • 11
If p is a prime number then find LCM of p, p²and p³
  • -5
I m not understanding how it would be p^3
  • 1
This can be solved by the simple logic given in ncert book.
LCM = Product of the greatest power of each prime factor involved in the numbers.
Here, the greatest power is p?.
Hence, the answer.

  • 3
Step I: Resolve each given number into its prime factors and express the factors obtained in exponent form. Step I: Find the product of the highest powers of all the factors that occur in any of the given numbers. Step III: The product obtained in Step II is the required least common multiple (L.C.M) Hence when we make prime factors of p,p^2,p^3 we are able to see that p^3 So that p^3is a has highest power
  • -1
yess
  • 2
Etuhfffuu
  • -1
if n is natural number then exactly one of numbers n
  • 1
IF p is a prime number then LCM of P, P2 and P3 is- (a) P (b) P3 (c) P2 (d) P6
  • 0
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