The least number by which 72 must be multiplied in order to produce a multiple of 112, is:	Choose the correct choice from the following.
A) 6 B) 12 C) 14 D) 18 E) 20

Rationale: required number is divisible by 72 as well as by 112 , if it is divisible by their lcm , which is 1008 . now , 1008 when divided by 72 , gives quotient = 14 . therefore , required number = 14 . answer : c
Answer: C