During November, Lilly will water her flowers every fourth day and her trees every eleventh day. On which day will lily first water her flowers and trees together?

Respuesta :

Answer:

On [tex]44^{th}[/tex] day lily will first water her flower and trees together.

Explanation:

Lilly waters her flowers every 4th day and her trees every 11th day

So the first day when she will water flower and trees together is the LCM of 4 and 11.

LCM is the Least Common Multiple of the given numbers.

[tex]Factors of 4 = 2\times 2\times 1[/tex]

[tex]Factors of 11 = 1\times 11[/tex]

So here the LCM of 4 and 11 is [tex]2\times2\times\ 11 =44[/tex]

So the first day will be on [tex]44^{th}[/tex] day (after 1 month 14 days).