the time period of 3 planets are 100days, 250days and 300days respectively. After how many days do the planets come to the present position again?
Answers
Answer:
If after minimum days then L. C. M
If after maximum days then H. C. F
We will do L.C.M
50. 100. 250. 300
2. 5. 6
L. C. M = 2 x 5 x 6 x 50
= 60 x 50
= 3000
Answer:
After 3000 days the planets come to the present position again.
Step-by-step explanation:
It is given in the question that the time period of 3 planets are
100 days, 250 days and 300 days respectively.
now ,
we have to calculate after how many days will the planets come to the present position again, for that we have to calculate the LCM of the time period of 3 planets i.e
LCM of ( 100 days, 250 days, 300 days)
now
100 days =5*5*2*2 days
250 days = 5*5*5*2 days
300days =5*5*3*2*2 days
now taking the least common multiple, we get
=( 5*5*4*5*2*3) days
=3000 days
So, after 3000 days the planets come to the present position again.
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