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    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)?
    A 575 Correct Answer Incorrect Answer
    B 570 Correct Answer Incorrect Answer
    C 576 Correct Answer Incorrect Answer
    D 525 Correct Answer Incorrect Answer

    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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