Question

Question 3 Unsaved Find the least common multiple of 5, 9 and 30. Question 3 options: 9 30 60 90

Answer 1

we are given

the least common multiple of 5, 9 and 30

we know that

`\mathrm{The\:LCM\:of\:}a,\:b\:\mathrm{is\:the\:smallest\:multiplier\:that\:is\:divisible\:by\:both\:}a\mathrm{\:and\:}b`

so, firstly, we will find prime factorization

`\mathrm{Prime\:factorization\:of\:}5:\quad 5`

`\mathrm{Prime\:factorization\:of\:}9:\quad 3\cdot \:3`

`\mathrm{Prime\:factorization\:of\:}30:\quad 2\cdot \:3\cdot \:5`

`\mathrm{Compute\:a\:number\:comprised\:of\:factors\:that\:appear\:in\:at\:least\:one\:of\:the\:following:}`

`=5\cdot \:3\cdot \:3\cdot \:2`

`=90`

so,

LCM of 5 , 9 and 30 is 90........Answer