Question:

Find the L.C.M of 17, 23, and 29.

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When calculating the LCM of prime numbers, the LCM is the product of the numbers because they have no common factors other than 1.
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Solution and Explanation

The LCM (Least Common Multiple) of numbers is the smallest multiple that is evenly divisible by all of them. Since 17, 23, and 29 are prime numbers, their LCM is simply the product of these numbers.
Thus, the LCM of 17, 23, and 29 is: \[ \text{LCM} = 17 \times 23 \times 29 = 11,303 \]
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