A rectangular block 8cm by 24cm by 56cm is cut into an exact number of equal cubes. Find the least possible number of cubes? Choose the correct choice.
A) 6  B) 10  C) 15  D) 40  E) 21
Volume of the block = 8*24*56= 
<gadget id="calculator">8*24*56</gadget>
<output>10_752</output>
10752 cm^3   Side of the largest cube= H.C.F of 8,24,56 = 8cm   Volume of the cube = 8*8*8= 
<gadget id="calculator">8*8*8</gadget>
<output>512</output>
512 cm^3   Number of cubes= 10752/512= 
<gadget id="calculator">10752/512</gadget>
<output>21</output>
21   Answer is 21
<result>E</result>
A rectangular block 8cm by 24cm by 56cm is cut into an exact number of equal cubes. Find the least possible number of cubes?