A Downing Street spokesman has told ITV News a "small logistical unit", including an unspecified number of troops, were paying £1 for showers while they were setting up the shower unit for troops staying at temporary living quarters at Tobacco Dock in east London.
However, the unit is now in place and the troops will be refunded, if they have not been so already.
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The former presidential candidate, who has herself been the target of false news reports, said such stories had 'real-world consequences'.
London councils recorded the largest surpluses, with the capital's 33 local authorities accounting for 44% of the total figure.
Outbreaks of rain will move slowly from north to west but otherwise a mainly dry day ahead.