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sage: a = [1, 1/2, 1/3, 3/8, 1/5, 1/3, 3/14, 1/4, 1/6, 1/4]                     
sage: b = 840                                                                   
sage: b * vector(a)                                                             
(840, 420, 280, 315, 168, 280, 180, 210, 140, 210)
sage: [b * n for n in a]                                                        
[840, 420, 280, 315, 168, 280, 180, 210, 140, 210]