Math, asked by megha1234m, 5 months ago

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 Catchymail202020
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.

Hope it helps...

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Answered by JaiShreeRadhaKrishna
5

Answer:

3600 is the correct answer.

3600÷8= 450.

3600÷12= 300.

3600÷15= 240.

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