The LCM of two numbers is 1728 and their HCF is 4. If one of the numbers is 64, then the other number is:

Correct option is C

Given:

One of two numbers = 64

Their HCF and LCM are 4 and 1728 respectively

Formula Used:

Product of two numbers = HCF $$\times$$​ LCM

Solution:

Let the other number be $$x$$​​

​$$x \times 64 = HCF \times LCM = 4 \times 1728$$​​

​$$x= \frac{4 \times1728}{64}$$​​

​$$x= 108$$ 

Thus, the other number is 108