$$\(A=3^{5} \times 5 \times 7^{3}\)$$ $$\(B=2^{3} \times 3 \times 7^{4}\)$$ $$\(C=2^{p} \times 5^{q} \times 7^{r}\)$$ Given that the HCF of $$\(B\)$$ and $$\(C\)$$ is $$\(2^{3} \times 7\)$$ the $$\(\mathrm{LCM}\)$$ of $$\(A\)$$ and $$\(C\)$$ is $$\(2^{4} \times 3^{5} \times 5^{2} \times 7^{3}\)$$ (b) find the value of $$\(p\)$$, the value of $$\(q\)$$ and the value of $$\(r\)$$. $$\[ \begin{aligned} & p= \\ & q= \\ & r= \end{aligned} \]$$ ................................................... ................................................... ................................................... (2)

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