The least five-digit perfect square which is divisible by 3,4,5,6,and 8 is
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Answer:
here is your answer
The least five-digit perfect square which is divisible by 3,4,5,6,and 8 is
okay so we will start from :
3 = 3 x 1
4 = 2 x 2
5 = 5 x 1
6 = 3 x 2
8 = 2 x 2 x 2
LCM OF 3, 4 , 5, 6 , AND 8 IS = 2 x 2 x 2 x 3 x 5 = 120
2 , 3 , and 5 are not completed to make a perfect square = 120 x 2 x 3 x 5 = 3600
3600 is the perfect square which is divisible by 3,4,5,6,and 8
Answer:
3600
Step-by-step explanation:
The least square number which is exactly divisible by 3, 4, 5, 6 and 8= L.C.M of 3, 4, 5, 6 and 8
L.C.M of 3, 4, 5, 6 and 8= 2×2×2×3×5=120
Pair of 2, 3 and 5 is not completed. To make it a perfect square, the number should be multiplied with 2×3×5=50
Now, 120×50=3600
The least square number which is exactly divisible by 3, 4, 5, 6 and 8 is 3600.
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