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Home » $\1,2,4\, \3\$ - Get link 4share

$\1,2,4\, \3\$ - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Question: What is the smallest three-digit number divisible by 14 and 21, representing the minimal batch size for synchronized seismic sensor calibration?

📌 Solution: The least common multiple (LCM) of 14 and 21 is $42$. The smallest three-digit multiple of 42 is $42 \times 3 = 126$.

📌 \boxed{126}

📌 Question: What is the least common multiple of 16 and 24, analogous to synchronizing two drug delivery cycles with half-lives?

📌 Solution: Prime factorization: $16 = 2^4$, $24 = 2^3 \cdot 3$. LCM takes the highest powers: $2^4 \cdot 3 = 16 \cdot 3 = 48$.

📌 \boxed{48}

📌 Question: What is the greatest common divisor of 108 and 144, reflecting the largest uniform interval for monitoring volcanic gas emissions?

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a_n = a_1 \cdot r^{n-1}
Here, \( a_1 = 4 \) million km, \( r = 1.5 \), and we want \( a_5 \):
a_5 = 4 \cdot (1.5)^{5-1} = 4 \cdot (1.5)^4
Calculate \( (1.5)^4 \):
Now, calculate \( a_5 \):
a_5 = 4 \cdot 5.0625 = 20.25
Thus, the fifth term of the sequence is
\boxed{20.25}
\] million km.
A technology consultant models the latency reduction in a network usin...

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