Page 1 - Home Assignment Ans

Home Assignment-5

1. The time duration after which they will meet at the starting point = L.C.M. of 5 and

7 = 35
Hence After 35min they will meet at the starting point, if they start running together

and don’t take any break in between.
2. LCM of 48, 72, 108 = time period after which these lights change

LCM = 2 × 2 × 2 × 2 × 3 × 3 × 3 = 432

Hence, lights will change together after every 432 seconds
Therefore the lights will change simultaneously at 7 minutes 12 seconds.

3. LCM of 6, 5

LCM = 2 × 3 × 5 = 30
(d) LCM of 15, 4

LCM = 2 × 2 × 3 × 5 = 60

Yes in each case the LCM of given numbers is the product of these numbers.
4. 12, 48