Question

Find the least length of the wire which can be cut into whole number of pieces of length 45cm, 3cm and 21cm.

Answer 1

Answer:

2025 cm

Step-by-step explanation:

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.

Answer 2

We want to cut wire in 3 pieces
Length of pieces = 45cm 3cm 21cm
Add them all

45 + 3 + 21 = 69
So we need at least 69 cm of wire