Question

If the f LCM and HCF of p and 12 and 36 and 6 respectively. then the
value of p is
​

Answer 1

Step-by-step explanation:

Given:-

The LCM and HCF of p and 12 are 36 and 6 respectively.

To find:-

Find the value of p ?

Solution:-

Given numbers = p and 12

LCM of the given numbers = 36

HCF of the given numbers = 6

Product of the two numbers = p×12 = 12p

Product of the LCM and the HCF = 36×6 = 216

We know that

Product of the two numbers is equal to the product of their LCM and HCF

=> 12 p = 216

=> p = 216/12

=> p = 18×12/12

=> p = 18

Answer:-

The value of p for the given problem is 18

Check :-

Product of LCM and HCF = 36×6 = 216

Product of the numbers = 18×12 = 216

Verified the given relation.

Used formulae:-

• Product of the two numbers is equal to the product of their LCM and HCF

• If the two numbers a and b and their LCM is L and HCF is H then L×H = a×b