find the smallest perefect Square numbe
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To find least perfect square number which is divisible by 3, 4, 5, 6 and 8. 120 = 2 x 2 x 2 x 3 x 5. As 2,3 and 5 are not in pair in LCM's factor so we need to multiply 120 by 5 and 3,2 to make it a perfect square. 120 x 2 x 5 x 3 = 3,600
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Step-by-step explanation:
The Required perfect square is 900.
Step-by-step explanation:
To find : The smallest perfect square divisible by 3,4,5,6 ?
Solution :
First we take LCM of 3,4,5,6,
2 | 3 4 5 6
2 | 3 2 5 3
3 | 3 1 5 3
5 | 1 1 5 1
| 1 1 1 1
LCM(3, 4, 5, 6) = 2×2× 3×5 LCM(3,4,5,6)=2×2×3×5
In LCM, 3 and 5 are not in pairs so we should multiple it by 3 and 5.
i.e. 60\times 15=9060×15=90
The Required perfect square is 900.
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