Question

Its chapter LCM .

After traveling every 84 km, a motorbike needs to fill petrol and after 120 km it needs to change Mobil. If these works are done together, after traveling what distance will both the works repeat again?

Answer 1

Both works will be repeated at 840km

Explanation:

Given

Fills Petrol = Every 84km

Change Mobil = Every 120km

Required

Determine the distance where both works are done at the same time

This solution to this question is to solve for the LCM of 84 and 120

Start by factoring 84

`84 = 2 * 2 * 3 * 7`

Then, 120

`120 = 2 * 2 * 2 * 3 * 5`

Then the LCM is as follows;

`LCM = 2 * 2 * 2 * 3 * 5 * 7`

`LCM = 840`

Hence, both works will be repeated at 840km