lcm Practical Problems Question6

In this page lcm practical problems question6 we are going to see solution of first problem.

Question 6:

Garlands having 48,30 or 72 rose flowers in each are to be prepared.Find the minimum number of flowers that would be required to make the garlands. How many garlands of each kind can be prepared?

Solution:

48 = 2 x 2 x 2 x 2 x 3

30 = 2 x 3 x 5

72 = 2 x 2 x 2 x 3 x 3

L.C.M = 2 x 2 x 2 x 2 x 3 x 3 x 5

          = 720  

Number of flowers needed in 1st type to make the garden = 720/48

                                                                                   = 15

Number of flowers needed in 2nd type to make the garden = 720/30

                                                                                   = 24

Number of flowers needed in 1st type to make the garden = 720/72

                                                                                   = 10