. Three measuring rods are 64 cm


80 cm and 96 cm in length. find the least length of cloth that can be measured an exact number of times, using any of the rods

Best Answer

Explanation:

The given lengths of the rods are 64cm,80cm,96cm.

The least length of cloth that can be measured an exact number of times is the largest common multiple of the given number.

So, breaking the numbers in its product of factors.

64=2×2×2×2×2×2=25

80=2×2×2×2×5=24×5

96=2×2×2×2×2×3=25×3

The L.C.M (largest common multiple) is 

26×5×3=960cm

So, the length of the cloth is 960cm

Final Answer:

The least length of cloth that can be measured an exact number of times, using any of the rods is 960cm.

 

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