Question

Given HFC (65,117)=13,find the lcm(65,117)

Answer 1

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Answer 2

Answer:

$\huge{ \bold{ \underline{ \green{ \sf{ Solution:}}}}} \\ \\ \small{\bold{ By \: fundamental \: theorem \: of \: arithmetic}} \\ \\ It \: states \: that \: every \: positive \: integer \: can \: be \: represented \\ in \: exactly \: one \: way \: apart \: from \: rearrangement \: as \: a \\ product \: of \: one \: or \: more \: primes. \\ \\ \huge{\blue{\small{\purple{\mathbb{HCF \times LCM = product \: of \: two \: numbers}}}}} \\ \\ 13 \times LCM = 65 \times 117 \\ 13 \times LCM = 7605 \\ LCM = \frac{7605}{13} \\ \\ LCM = 585 \\ \\ So \: the \: LCM \: of \: two \: numbers \: is \: 585.$