What is the least perfect square number divisible by 3, 4, 5, 6 and 8.
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Answered by
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First find the lcm
lcm of 3, 4, 5, 6 and 8 = 120
120 = 2 x 2 x 2 x 3 x 5
as we can see 2, 3, and 5 are not in pairs so we've to multiply it by the stated number that is 120
⇒120 x 2 x 5 x 3 = 3,600
:. 3600 is the least perfect square divisible by 3, 4, 5, 6 and 8.
Answered by
3
Step-by-step explanation:
taking the LCM of 3,4,5,6, and 8 =120
Also , 120 =2×2×2×3×5 in which 2 , 3 and 5 are not in pair
So, 120 should be multiplied by 2 ,3, and 5 to get a perfect square
The required least square number is 120×2×3×5=3600.
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