Question

The product of two numbers is 1530 and their HCF is 15. The LCM of these numbers is
(a) 102
(b) 120
(c) 84
(d) 112

Answer 1

Product of two numbers = HCF of two numbers × LCM of two numbers
$$\begin{gathered} \Rightarrow 1530=15\times \mathrm{LCM}\mathrm{of}\mathrm{two}\mathrm{numbers} \\ \Rightarrow \mathrm{LCM}\mathrm{of}\mathrm{two}\mathrm{numbers}=\frac{1530}{15}=102 \end{gathered}$$
Hence, the correct answer is option (a).