Answer:
23,905,700 days
Step-by-step explanation:
We need to find the least common multiple of 170,755 and 9100.
Write the prime factorizations:
170755 = 5×13×37×71
9100 = 2²×5²×7×13
The least common multiple is therefore:
LCM = 2²×5²×7×13×37×71
LCM = 23,905,700
Following are the calculation to the again alignment:
Given:
[tex]\bold{170,775 ,9100}[/tex]
To find:
again alignment=?
Solution:
Get the LCM of 170,775 and 9100 to find the number of days after which both planes will align together.
[tex]\to \bold{170755 = 5\times 13\times 37\times 71}\\\\ \to \bold{9100 = 2 \times 2 \times 5 \times 5 \times 7\times 13}[/tex]
Calculating the LCM:
[tex]\bold{ = 2 \times 2 \times 5\times 5\times 7\times 13\times 37\times71}\\\\ \bold{ =700 \times 13\times 37\times71}\\\\ =\bold{ 23,905,700 }\\\\[/tex]
Therefore, the Planets D and G will be aligned again after days.
Learn more:
brainly.com/question/20040859
