Question

(6). Find the smallest number by which 16384 be divided so that the quotient may be a perfect cube?​

Answer 1

Answer

246

Step-by-step explanation:

To find the smallest number to which this number must be divided we need to find the LCM of the number

LCM of 16384 is 2*2*2*2*2*2*2*3*41

there are total seven 2, one 3 and one 41

as we now that 3 same numbers multiplied make a perfect cube

so 2, 3 and 41 are extra so multiply them all together 2*3*41= 246

so 246 is the smallest number to be divided

HOPE THIS HELPS

PLZ MARK AS THE BRAINLIEST