Three measuring rods are 6 cm, 4 cm and 8 cm long. Find the shortest length that can be measured exactly by each one of these rods.

32 cm

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24 cm

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40 cm

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48 cm

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Solution

The correct option is B 24 cm
To find the shortest length that can be measured exactly by using each one of these rods, we need to find the LCM of their lengths.

$\begin{matrix} 2 & 6, 4, 8 2 & 3, 2, 4 2 & 3, 1, 2 3 & 3, 1, 1 1, 1, 1 \end{matrix}$

LCM $= 2 \times 2 \times 2 \times 3 = 24 c m$
Therefore, 24 cm is the shortest length that can be measured exactly by each one of these rods.

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