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To find the Least Common Multiple (LCM) of 14, 15, and 16, we first need to factorize each number into its prime factors.
14 = 2 x 7 15 = 3 x 5 16 = 2^4
Then, we identify the common and uncommon prime factors among the numbers. The LCM is the product of all the prime factors, including the highest power of each factor that appears in any of the numbers. Therefore, LCM(14, 15, 16) = 2^4 x 3 x 5 x 7 = 840.
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