The number 523rbc is divisible by 7,8,9. Then what is the value of r*b*c	Choices:
A) 504
B) 532
C) 210
D) 180
E) 280
LCM of 7, 8 and 9 is 504, thus 523rbc must be divisible by 504.   523rbc=523000+rbc   523000 divided by 504 gives a remainder of 352.   Hence, 352+rbc=k*504.   k=1 rbc=152 --&gt; r*b*c=10   k=2 rbc=656 --&gt;r*b*c=180   As rbc 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 523rbc is divisible by 7,8,9. Then what is the value of r*b*c