Question

5. Find the least number by which 68,600 must be multiplied to make it a perfect cube. Also find the cube
root of the number.

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Answer 1

Answer:

Step-by-step explanation:

first we have to take LCM for 68600

the LCM value be

2*2*2*5*5*7*7*7

to make 68600 a perfect cube all the LCM values should be cubed

2^3*5^2*7^3

here we are having 2(three times)

                                 7(three times)

but 5 is only 2 times

to make 68600 a prefect cube

5 should be multiplied

68600*5 = 343000

cube of 343000 = 70^3

cobe root of 343000 = 70