Question

find is the smallest number that must be multiplied to make the 3584 as a perfect cube​

Answer 1

L.C.M OF 3584 = 2×2×2×2×2×2×2×2×2×7

(see in attachment)

Since,

7 does not occurs 3 times

So, our no. Becomes

3584×7×7 = 2×2×2×2×2×2×2×2×2×7×7×7

= 2×2×2×2×2×2×2×2×2×7×7×7

Now, it becomes a perfect cube

So, we multiply 3584 by 7×7 = 49 to make it perfect cube.

Answer 2

Answer:

49

Step-by-step explanation:

3584 = 2^9 x 7

so, we multiply by 7^2 = 49