Answer:
(a)90
(b)(i) 10 (ii)6 (iii)5
Explanation:
Part A
First, we find the lowest common multiple of 9,15, and 18.
To do this, express each number as a product of its prime factors.
[tex]\begin{gathered} 9=3\times3 \\ 15=3\times5 \\ 18=2\times3\times3 \end{gathered}[/tex]Next, multiply all prime factors the greatest number of times they occur in either number.
[tex]\text{LCM}=2\times3\times3\times5=90[/tex]The LCM of 9, 15, and 18 is 90.
Part B
To answer this part, divide the LCM by the respective numbers:
(i)
[tex]\frac{90}{9}=10[/tex]9 divides into LCM 10 times.
(ii)
[tex]\frac{90}{15}=6[/tex]15 divides into LCM 6 times.
(iii)
[tex]\frac{90}{18}=5[/tex]18 divides into LCM 5 times.
