The British rocker, who was best known as the only continuous member of Motorhead and its lead singer and bass guitarist, had suffered failing health since August last year and was diagnosed with an extremely aggressive form of cancer on Boxing Day, just 48 hours before he died.
His son, Paul Inder, 48, led the eulogies and described his father's determination to keep performing despite his worsening condition and how he sought solace in his spirituality in his final days.
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"He wasn't a religious man and praying for a miracle was something he would have viewed as a delusional act, but he was profoundly spiritual," he said.
Slash told the gathered mourners he felt "honoured" to have been good friends with the musician who had "more integrity in one finger than a whole roomful of rock 'n' rollers".
Ian Fraser "Lemmy" Kilmister was born in Burslem, Staffordshire in 1945 and joined Hawkwind in 1971, although he was fired four years later after a drugs arrest.
He went on to form Motorhead in 1975 and remained active as their frontman until his death.
His son said he had been "devastated" by the death of former bandmate Phil Taylor in November last year.
-AP