Three production units restart operations after 13.5 minutes, 18 minutes and 22.5 minutes. When will they restart together again ?
270 minutes
Write each interval as a fraction with a common denominator: \(13.5 = \frac{27}{2}, \ 18 = \frac{36}{2}, \ 22.5 = \frac{45}{2}\).
The LCM of fractions is found using \(\text{LCM} = \frac{\text{LCM of numerators}}{\text{HCF of denominators}}\).
The LCM of 27, 36, and 45 is \(540\), and the HCF of the denominators (all 2) is 2.
\(\text{LCM} = \frac{540}{2} = 270\)
Hence, the units will restart together again after 270 minutes.
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