The number 523dbc is divisible by 7,8,9. Then what is the value of d*b*c  Pick:
A) 504  B) 532  C) 210  D) 180  E) 280
LCM of 7, 8 and 9 is 504, thus 523dbc must be divisible by 504.   523dbc=523000+dbc   523000 divided by 504 gives a remainder of 352.   Hence, 352+dbc=k*504.   k=1 dbc=152 --&gt; d*b*c=10   k=2 dbc=656 --&gt; d*b*c=180   As dbc is three digit number k can not be more than 2.   Two answers? Well only one is listed in answer choices, so D.   Answer: 180.
<result>D</result>
The number 523dbc is divisible by 7,8,9. Then what is the value of d*b*c