There are three measuring tapes off 64cm,72 cm and 96cm. what is the least length of that csn be measured by any of these tapes exactly
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required length will be equal to the L.C.M of 64, 72 and 96,
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The least length of the cloth that can be measured an exact number of times is LCM of 64, 80 and 96.
LCM of 64, 80 and 96 are
64=2*2*2*2*2*2 = 2^6
80=2*2*2*2*5 =2^4*5
96=2*2*2*2*2*3=2^5*3
Thus the LCM of 64, 80 and 96 is .2*2*2*2*2*2**3*5
∴ the required length of the cloth is 960 cm or 9.6 m ANS
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