Two measuring rods are of lengths 66 cm and 84 cm respectively. Find the shortest
length that can be measured exactly by each one of these rods.
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Length of the three measuring rods are 64cm, 80cm and 96cm, respectively.
∴ Length of cloth that can be measured an exact number of times = LCM (64, 80, 96)
Prime factorization: 64 = 26 80 = 24 × 5 96 = 25 × 3
∴ LCM = product of greatest power of each prime factor involved in the numbers = 26 × 3 × 5 = 960cm = 9.6m
Hence, the required length of cloth is 9.6m.
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