Respuesta :
we are given
the least common multiple of 5, 9 and 30
we know that
[tex]\mathrm{The\:LCM\:of\:}a,\:b\:\mathrm{is\:the\:smallest\:multiplier\:that\:is\:divisible\:by\:both\:}a\mathrm{\:and\:}b[/tex]
so, firstly, we will find prime factorization
[tex]\mathrm{Prime\:factorization\:of\:}5:\quad 5[/tex]
[tex]\mathrm{Prime\:factorization\:of\:}9:\quad 3\cdot \:3[/tex]
[tex]\mathrm{Prime\:factorization\:of\:}30:\quad 2\cdot \:3\cdot \:5[/tex]
[tex]\mathrm{Compute\:a\:number\:comprised\:of\:factors\:that\:appear\:in\:at\:least\:one\:of\:the\:following:}[/tex]
[tex]=5\cdot \:3\cdot \:3\cdot \:2[/tex]
[tex]=90 [/tex]
so,
LCM of 5 , 9 and 30 is 90........Answer
