The smallest square number divisible by
each of the numbers, 8, 12, 15 is
(a) 3600 (5) 9000 (c) 4200 (d) 100
Answers
Answered by
1
Answer: (a) 3600
Step-by-step explanation:
First let's find the LCM of 8,12,15,and 20.
8 = 2 × 2 × 2
12 = 2 × 2 × 3
15 = 3 × 5
20 = 2 × 2 × 5
So the LCM is 2 × 2 × 2 × 3 × 5 = 120
Here is 2,3,5, are not in pairs, we need to in pairs for smallest square number.
=> 120 × 2 × 3 × 5
=> 120 × 30 = 3600.
Hence the number is 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 = 3600.
=> (a) 3600 is the right answer.
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Answered by
5
Answer:
3600 is the correct answer.
3600÷8= 450.
3600÷12= 300.
3600÷15= 240.
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