This question from class 10 real numbers is very important.
I have been trying to solve it since last night but couldn’t do it.
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Given :
The length of the given rods are  64 cm, 80 cm and 96 cm.
To find :
We have to find the least length of cloth that can be measured an exact number of times using any one of the above rods.
Solution :
The least common multiple of 64, 80, 96 is the required least length of the cloth.
Prime factorization of 64=2×2×2×2×2×2=2*6
Prime factorization of 80=2×2×2×2×5=2*4 ×5
Prime factorization of 96=2×2×2×2×2×3= 2*5 ×3
LCMÂ ==Â Product of highest power of each prime factor.
LCM =2*6×5×3=960cm
960 cm == 9.6 m.