Q. 204.1( 13 Votes )

Three measuring r

Answer :

Least length of cloth that can be measured using this rod will be LCM of the three lengths.

So LCM of 64, 80 and 96 -


Prime factors of the given numbers are -


64 = 2 × 2 × 2 × 2 × 2 × 2


80 = 2 × 2 × 2 × 2 × 5


96 = 2 × 2 × 2 × 2 × 2 × 3


So LCM = product of prime factors with highest powers = 26 × 3 × 5 = 960


least length of cloth that can be measured using the rods = 960 cm = 9.6m


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