Question

The LCM of two numbers p and q is 200 and their HCF is 5. Then pq =

Answer 1

Answer:

1000

Step-by-step explanation:

LCM*hcf

200*5= 1000

Answer 2

Given:

Two numbers = p and q

LCM of the numbers = 200

HCF of the numbers = 5

To Find:

Product of the numbers

Solution:

The formula showing the relation between LCM and HCF of p and q is:

LCM (p,q) = (p × q) / HCF (p,q)

HCF (p, q) = 5, and

LCM (p, q) = 200

Thus, substituting the values -  

200 = ( p × q ) / 5

p × q = 200 × 5

p × q = 1000

Answer: The value of pq is 1000.