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Q.

The LCM of two numbers is 864 and their HCF is 144. If one of the number is 288, the other number is

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a

576

b

1296

c

432

d

144

answer is C.

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Detailed Solution

$LCM \times HCF = Product of two numbers$

$\begin{array}{l} 864 \times 144 = 288 \times x \\ \frac{864 \times 144}{288} = x \\ x = 432 \end{array}$

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