Question

find the smallest strength of string which can be cut into an exact numbers of pieces of length 48 cm or 72 cm or 84 cm
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Answer 1

$\bf\large\underline\green{Solution:-}$

➤ Given 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 whole number of pieces of length 45 cm, 75 cm and 81 cm.

❒____________________

Answer 2

lcm of all is the ansr

= 12×7×6×2

=1008