Question

three measuring rods are 60cm,80cm and 100cm in length of cloh that can be measured exact number of times using any one of these rods
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Answer 1

Answer:

1200 cm

Step-by-step explanation:

Find the least common multiple (LCM) of 60, 80, and 100 by finding their respective prime factorizations.

Prime factorization of 60: 2²×3×5

Prime factorization of 80: $2^{4}$×5

Prime factorization of 100: 2²×5²

Their greatest common factor is clearly (2²×5), or 20, so divide each number by 20:

60/20=3

80/20=4

100/20=5

LCM=(3)(4)(5)(GCF)

LCM=60(20)

LCM=1200

Therefore, 1200 cm is the shortest length of cloth that can be measured an exact number of times using any one of these rods.