The H.C.F. of two numbers is 30 and the other two factors of their L.C.M. are 10 and 15. The larger of the two numbers is: Select the correct option:
A) 350
B) 250
C) 450
D) 500
E) 620

Rationale: "explanation : clearly , the numbers are ( 30 x 10 ) and ( 30 x 15 ) . { \ color { blue } \ therefore } larger number = ( 30 x 15 ) = 450 . answer : c ) 450"
Answer: C