Question

Deshaun must choose a number between 49 and 95 that is a multiple of 4, 7 , and 14 . Write all the numbers that he could choose. If there is more than one number, separate them with commas.

Answer 1

Answer: To find the numbers that Deshaun could choose, we need to find the least common multiple (LCM) of 4, 7, and 14. The LCM is the smallest number that is a multiple of all the given numbers.

We can find the LCM using the prime factorization method:

4 = 2^2

7 = 7

14 = 2 * 7

The least common multiple of 4, 7, and 14 is 2^2 * 7 = 28

So, the numbers Deshaun could choose are multiples of 28, which means they must be in the form of 28n, where n is a positive integer.

The numbers between 49 and 95 that are multiples of 28 are: 56, 84

So the numbers that Deshaun could choose are 56, 84.

Explanation: