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📰 Solution: The prime factorization of 16 is $2^4$ and of 24 is $2^3 imes 3$. The LCM is the product of the highest powers: $2^4 imes 3 = 16 imes 3 = 48$. Thus, the LCM is $oxed{48}$. 📰 Question: How many integers between 1 and 150 are congruent to 3 modulo 7 and also congruent to 5 modulo 9, reflecting the overlap in experimental conditions for a lab protocol? 📰 Solution: Solve $x \equiv 3 \pmod{7}$ and $x \equiv 5 \pmod{9}$. Let $x = 7k + 3$. Substitute into the second congruence: $7k + 3 \equiv 5 \pmod{9} \Rightarrow 7k \equiv 2 \pmod{9}$. The modular inverse of 7 modulo 9 is 4 (since $7 imes 4 = 28 \equiv 1 \pmod{9}$), so $k \equiv 2 imes 4 = 8 \pmod{9}$. Thus, $k = 9m + 8$, and $x = 7(9m + 8) + 3 = 63m + 59$. The solutions are $59, 122, 185, \dots$. Within 1–150, only 59 and 122 satisfy. The count is $oxed{2}$. 📰 Frac3 Times 35210 Frac105210 Frac12 1593947 📰 Hhs Ai The Secret Behind Breakthroughs Doctors Never Told You About 3971208 📰 Sfm Comp This Hidden Glitch Is Changing How Streamers Perform Forever 4058809 📰 Vivosun Shocked Everyonethis Hidden Feature Will Shock You 9528962 📰 Guaranteed Income Growth Find The Highest Yielding Dividend Stocks Right Here Now 3377525 📰 Yellow Duck Hacks Everything You Thought Was Impossible Dont Miss This 2614146 📰 Why Everyone Wants To Cajolethis Surprising Psychological Weapon Will Shock You 3358537 📰 From Pikachu To Ditto This Daring Transformation Will Shock Every Trainer 9069108 📰 Pioneer Dmh 1500Nex Firmware Update 9590167 📰 This Foot Joi Moment Will Blow Your Mindwhat Youre Not Supposed To Know 121798 📰 Yes Its Truebardstown Bourbon Makes You See Ghosts After One Sip 9927684 📰 Pandora Stock Stocks To Surgeheres Why Investors Are Talking Heads Over It 5967070 📰 Hello Kitty Mirror Reveals What Your Reflection Is Actually Hiding 5426657 📰 The Wallpaper That Took Over Your Room Pink Demands Your Attention Now 114637 📰 Mural City 7281279