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📰 LCM takes the highest powers: $2^3 imes 3^2 = 8 imes 9 = 72$. Thus, the answer is $oxed{72}$. 📰 Question: What is the largest integer that must divide the product of any three consecutive integers? 📰 Solution: Any three consecutive integers include at least one multiple of 2 and one multiple of 3. Thus, the product is divisible by $2 imes 3 = 6$. Additionally, among three consecutive numbers, there is a multiple of 2 and another even number, ensuring divisibility by $2^2 = 4$ if the sequence includes two even numbers. However, the guaranteed minimum is $3! = 6$. But more precisely, the product of three consecutive integers is divisible by $6$, but not necessarily higher (e.g., $1 imes 2 imes 3 = 6$). Thus, the answer is $oxed{6}$.Question: An ichthyologist models the seasonal variation in coral reef fish populations using the function $ f(x) = \sin^2 x + \cos^2(2x) $. Find the minimum value of $ f(x) $ over all real numbers $ x $. 📰 Smr Share Price 📰 Quotes Of Everything Happens For A Reason 📰 Spider Man Silk Secrets How This Amazing Material Is Taking Over The Web 4268877 📰 Fidelity Investments Los Angeles Ca 📰 Dont Miss These Revolutionary Happy New Year 2025 Gifs Your Celebration Has Never Been Brighter 727586 📰 You Wont Believe This Dogs Head Transformation Shocking Results Guaranteed 9416978 📰 From Generic Wisdom To Game Changer Why Teach A Man To Fish Remains The Best Teaquote 2632316 📰 They Said Never Again But This Dirty Midnight Was Undeniable 8415348 📰 Master The Art Of Surprise Birthday Cards And The Tricks That Make Gifts Pop 2530342 📰 First Class Plane 9423086 📰 Lego Batman The Videogame Codes Xbox 360 9647863 📰 Gta 5 Price 📰 A Patent Attorney Negotiates A Licensing Deal Her Client Receives 50000 Upfront Plus 8 Royalties On 2 Million In First Year Sales And 12 On An Additional 500000 In Second Year Sales What Is The Total Revenue From The Deal In The First Two Years 5027471 📰 March 20 What Zodiac Sign 📰 Download Terminals