Answer:
Step-by-step explanation:
The smallest of the four numbers is x.
Since the four numbers are consecutive, this means that each number is one more than the previous.
Therefore, the four numbers are:
x
x + 1
x+1 + 1 = x+2
x+2 + 1 = x+3
Now, we are given that the sum (s) of the four numbers is 2174
This means that:
s = x+x+1+x+2+x+3
s = 4x + 6
We are given that s = 2174. Substitute with s in the above equation and solve for x as follows:
2174 = 4x + 6
4x = 2174 - 6
4x = 2168
x = 2168 / 4
x = 542
Based on the above calculations, the four numbers are:
542, 543, 544 and 555
The LCM will be the values that are common to both factors. From the given values the LCM will be 2² * 3² * 5
<h3>Least common multiple</h3>
LCM is the lowest number that can divide all other numbers given in an expression.
Given the prime factorizations 2² * 3² * 5 and 2*3*5. The LCM will be the values that are common to both factors.
From the given values the LCM will be 2² * 3² * 5
Learn more on LCM here: brainly.com/question/233244
#SPJ1
