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