Question
Three measuring tapes are 64 cm, 72 cm and 96 cm,
respectively. What is the least length that can be measured by any of the tapes exactly (in cm)?Solution
The least length that can be measured exactly by any of the three measuring tapes (64 cm, 72 cm, and 96 cm) is the least common multiple (LCM) of these numbers. 64=2× 2×2×2 ×2×2 72=2×2×2×3×3 96= 2×2×2×2×2x3 LCM = 64×9= 576 So, the least length that can be measured exactly is 576 cm.
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