Discussion
The LCM of two numbers is 2079 and their HCF is 27. If the first number is 189, the second number is
Answer: C
The second number is (2079 × 27) ÷ 189.
For two numbers, the product equals HCF × LCM:
\[ \begin{aligned} 189 \times b &= 27 \times 2079 \\ b &= \frac{2079 \times 27}{189} = 297 \end{aligned} \]
Check: 189 = 27 × 7 and 297 = 27 × 11, so the HCF is 27 and the LCM is 27 × 7 × 11 = 2079. The other expressions misplace the factors.
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