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HELP IMPORTANT! MATH HELP!?

I have a question about something can i get some help please! thanks my people! lol thanks

Some cicadas are called dog-day cicadas. These cicadas have cycles of 2 to 5 years. Suppose broods of 3-year, 4-year, and 5-year cicadas emerged in 2005. In what year would all three broods next emerge together? Explain.

2 Answers

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  • 1 decade ago
    Favorite Answer

    You just need to take the LCM of 3,4,and 5. The question essentially means what is the first year that all three broods will have in common.

    LCM = 3*4*5 = 60

    [It just so happens that the LCM is simply the product of these numbers, this is because 3, 4 and 5 have no factors in common.]

    So, the next time they will emerge together is 2005+60 = 2065...it's a long wait!

  • 1 decade ago

    find the least common multiple which is 3x4x5 = 60 years so it would be 2065

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