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Nataly_w [17]
3 years ago
13

Find the smallest square number divisible by each of these numbers 6,9,and 15

Mathematics
2 answers:
Zigmanuir [339]3 years ago
8 0
  • <em>Answer:</em>

<em>900</em>

  • <em>Step-by-step explanation:</em>

<em>6 = 2×3</em>

<em>9 = 3²</em>

<em>15 = 3×5</em>

<em>lcm = 2×3²×5 = 90</em>

<em>to have a square number multiple of 90 we have to multiply by 2 and 5</em>

<em>2×3²×5 × 2×5 = 2²×3²×5² = (2×3×5)² = 30² = 900</em>

<em>Good luck !</em>

<em />

<em> </em>

<em />

<em />

STALIN [3.7K]3 years ago
6 0

Answer:

\frac{6}{3}  = 2

\frac{9}{3}  = 3

\frac{15}{3}  = 5

So the smallest number is 3. As it divides 6,9 and 15.

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