135k views
2 votes
What is the least positive integer divisible by the numbers 2, 4, and 7?

1 Answer

5 votes

Answer:

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

User HTNW
by
5.4k points