Question

Find the least length of a wire which can be cut in to whole number of pieces of lengths 40 cm, 60 cm and 80 cm?

Answer 1

Answer:

given length of pieces 40cm 60cm 80cm.

to find the length of the rope we have to find the lcm of 40,60,and 80

_______________

2|20,40,60

_|________

2|10,30,40

_|_________

2|10,15,20

_|_________

2|5,15,10

_|_______

3|5,5,10

_|_______

5|1,1,2

lcm=2*2*2*2*3*5

so, the last length of the rope should be180cm which can be cut into whole number of pieces of length 40cm,60cm and80cm (answer=180