This question is taken from real numbers chapter in which we have given the length of three rods 64cm, 80cm and 96cm and we have to find the least length of cloth that can be measured an exact number of times, using any of the rods.

Kindly solve the above problem in detail.

RS Aggarwal, Class 10, chapter 1B, question no 24

## Length of three measuring rod are 64 cm ,80 cm and 96cm.

length of cloth that can be measure an exact number of times is the LCM of 64,80 and 96.

Find the LCM of 64,80 and 96.

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

LCM(64,80 and 96)=2^6×5×3=64×15=960cm=9.6m