Planets D and G revolve around a star. Planet D completes one orbit every 170,775 days and Planet G
completes one orbit every 9100 days. If Planets D and
G are aligned as shown in the figure, how long will it
take for them to align again?

Following are the calculation to the again alignment:

Given:

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.

Calculating the LCM:

Therefore, the Planets D and G will be aligned again after days.

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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

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step-by-step explanation:

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-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x