Math, asked by vermadashrath9125, 1 year ago

Find theleast length of rope which can be cut into whole number of piese lenght 45cm, 75cm,81cm

Answers

Answered by Anonymous
1

heyaaaaaaaaaaaa so here is the answer bro

Solution :-


Given the length of pieces - 45 cm, 75 cm and 81 cm


To find the length of the rope we have to find the L.C.M. of 45, 75 and 81.

      

     __________________

 3  |  45, 75, 81

     |________________     

 3  |  15, 25, 27

     |________________

 3  |    5, 25,  9

     |________________

 3  |    5, 25,  3

     |________________

 5  |    5, 25,  1

     |________________

 5  |    1,  5,   1

     |________________

     |    1, 1,   1

     |


L.C.M. = 3*3*3*3*5*5

= 2025 cm


So, the least length of the rope should be 2025 cm which can be cut into the whole number of pieces of length 45 cm, 75 cm, and 81 cm.

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