Question

find the least length whichcan be cut into whole number of pieces of lenths 45 cm,75 cm and 81 cm.​

Answer 1

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

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

Answer.