Question

if the product of two numbers x and y is 21778.find the PCM and hcf of x and y ,if it is given that lcm (x,y)=42 hcf=(x,y)​

Answer 1

Answer:

Step-by-step explanation:

Hope this helps...

Answer 2

Answer:

Given,

The product of two numbers x and y = 217728

LCM(x, y)  = 42 HCF(x, y)

To find,

We have to find the LCM of two numbers x and y.

Solution,

The LCM of two numbers x and y are 3024 and the HCF is 72.

Let the HCF of x and y is 'a'

then LCM of x and y = 42 a

Using the relation,

HCF * LCM = x*y

    a * 42 a = 217728

        42 a²= 217728

             a² = 217728/42

             a²  = 5184

               a = 72

then, HCF = 72

       LCM = 72*42

                = 3024

Hence, the LCM and HCF of x and y are 72 and 3024 respectively.