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Math Help - Divisible Integer - Trick Question?

  1. #1
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    Divisible Integer - Trick Question?

    What is the least positive integer that is divisible by each of the integers 1 through 7 , inclusive?

    Now it seems obvious that the answer is 1....I just can't believe I have such an easy question.... Just need another confirmation from someone else:-)
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  2. #2
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    Quote Originally Posted by thecapaccino View Post
    What is the least positive integer that is divisible by each of the integers 1 through 7 , inclusive?

    Now it seems obvious that the answer is 1....I just can't believe I have such an easy question.... Just need another confirmation from someone else:-)
    What is the least common multiple of the integers 1 through 7?
    1 = 1
    2 = 2
    3 = 3
    4 = 2^2
    5 = 5
    6 = 2*3
    7 = 7
    So the LCM must be of the form:
    1*2^2*3*5*7 = 420

    -Dan
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