The product of 2nd no. is 8250. HCF of a no. is 50 then find the LCM of a no. Faster plzzzz.

Dear Student,

Assuming the question is - " the product of two number is 8250. HCF of numbers is 50. find the LCM of numbers"

Then the solution is :-

$$\begin{gathered} \mathrm{Let} \mathrm{the} \mathrm{two} \mathrm{numbers} \mathrm{are} \mathrm{a} \mathrm{and} \mathrm{b} \\ \mathrm{So}, \mathrm{HCF}(\mathrm{a},\mathrm{b}) \times \mathrm{LCM}(\mathrm{a},\mathrm{b}) = \mathrm{a}\times \mathrm{b} \\ \Rightarrow 50 \times \mathrm{LCM}(\mathrm{a},\mathrm{b}) = 8250 \\ \Rightarrow \mathrm{LCM}(\mathrm{a},\mathrm{b}) = \frac{8250}{50} = 165 \\ \mathrm{Therefore}, \mathrm{LCM}\hspace{0.17em}\mathrm{of} \mathrm{the} \mathrm{numbers} \mathrm{is} 165 \end{gathered}$$.

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Regards,