The least number which is exactly divisible by 20, 30 and 40 is ____.

120

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100

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180

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150

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Solution

The correct option is A 120
To find the least number that will be exactly divisible by 20, 30 and 60, find the LCM.

$\begin{matrix} 2 & 20, 30, 40 2 & 10, 15, 20 5 & 5, 15, 10 3 & 1, 3, 2 2 & 1, 1, 2 1, 1, 1 \end{matrix}$
LCM = 2 × 2 × 5 × 3 × 2
=120

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