The factors of a number are all positive integers that divide evenly into the number. The factors of 16 are 1, 2, 4, 8, 16.

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{30}{7} \) = 4\(\frac{2}{7}\)

So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 6 and 8 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{6 x 4}{6 x 4} \) + \( \frac{4 x 3}{8 x 3} \)

\( \frac{24}{24} \) + \( \frac{12}{24} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{24 + 12}{24} \) = \( \frac{36}{24} \) = 1\(\frac{1}{2}\)

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{20mi}{20mph} \)
1 hour

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.