Find an odd natural number x such that LCM (x, 40)

Find an odd natural number x such that LCM (x, 40) = 1400.

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  1. 40 = 2^3 * 5
    1400 = 2^3 * 5^2 * 7
    LCM(2^3 * 5, 5^2 * 7) = 1400
    so x = 175

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    oobleck
  2. 175

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