What is the Least Common Multiple $(LCM)$ of $36$ and $100$?

Find $g.c.d.$ of $210$ and $55$ by Euclid's algorithm.

Find the $HCF$ of $96$ and $404$ by the prime factorisation method. Hence,find their $LCM$.

If $\text{HCF}(65, 117) = 65m - 117$,then find the value of $m$.

For any two positive integers $a$ and $b$,what is the relationship between their $HCF$ and $LCM$? $\text{HCF}(a, b) \times \text{LCM}(a, b) = \text{?}$

State whether the following rational number has a terminating decimal expansion or not. If it has,then find it: $\frac{23}{200}$