The H.C.F. of two numbers is 42 and the other two factors of their L.C.M. are 12 and 14. The larger of the two numbers is:
Select the correct option.
A) 588 B) 642 C) 567 D) 344 E) 789

Rationale: "explanation : clearly , the numbers are ( 42 x 12 ) and ( 42 x 14 ) . { \ color { blue } \ therefore } larger number = ( 42 x 14 ) = 588 . answer : a ) 588"
Answer: A