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Q.

Find the smallest square number which is divisible by each of the numbers 4, 9 and 10.


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a

400

b

200

c

900

d

520 

answer is C.

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Detailed Solution

We have to find LCM of 4,9&10.
So,
4=2×2, 9=3×3, 10=5×2
So, LCM= Question Image×5=180
Now, Using LCM we see that is 180 are multiplied by 5 then it will become a perfect square.
∴ required number =180×5=900.
 
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Find the smallest square number which is divisible by each of the numbers 4, 9 and 10.