If three planets revolve round the sun once in $200, 250 a n d 300$ days respectivily in their own orbits, when do they all come together again to the present places.

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Solution

Here we have to take LCM of $200, 250 a n d 300$
By prime facorization method:
$200 = 2 \times 2 \times 2 \times 5 \times 5$
$250 = 2 \times 5 \times 5 \times 5$
$300 = 2 \times 2 \times 5 \times 5 \times 3$
$L C M = 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 3 = 3000$
Hence they all come together again to the present places after $3000$ days

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If three planets revolve round the sun once in 200,250and300 days respectivily in their own orbits, when do they all come together again to the present places.

Here we have to take LCM of200,250and300By prime facorization method:200=2×2×2×5×5250=2×5×5×5300=2×2×5×5×3LCM=2×2×2×5×5×5×3=3000Hence they all come together again to the present places after 3000 days

If three planets revolve round the sun once in $200, 250 a n d 300$ days respectivily in their own orbits, when do they all come together again to the present places.