Question

What is the least positive integer divisible by the numbers 2, 4, and 7?

Answer 1

Least positive integer divisible by the numbers 2, 4, and 7 is 28

Explanation:

We can find the least positive integer divisible by the numbers 2, 4, and 7 by taking the LCM

First lets List all prime factors for each number.

Prime Factorization of 2

2 is prime =>
`2^1`

Prime Factorization of 4 is:

2 x 2 =>
`2^2`

Prime Factorization of 7 is:

7 is prime =>
`7^1`

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 superset list is

2, 2, 7

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 7 = 28