Question

Tyler wears a jacket to school every 3rd day and a scarf to school every 8th day. What will be the first day Tyler will wear his jackets and scarf to school on the same day.

Answer 1

24th day will be the first day on which Tyler will wear his jackets and scarf to school

Explanation:

We can find the first day on which the Tyler will wear his jackets and scarf to school by taking the LCM of(3,8)

Finding the LCM of(3,8)

List all prime factors for each number.

Prime Factorisation of 3 shows:

3 is prime =>
`3^1`

Prime Factorisation of 8 is:

2 x 2 x 2 =>
`2^3`

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new super-set list is

2, 2, 2, 3

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 = 24