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Q: Find two consecutive even integers that have a sum of 450?

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The numbers are 148, 150 and 152.

224, 225

Call the first number n, and the next one n+1 Since their sum is 450 we have 2n+1=450 or 2n=449, but 449 is an odd number so it is not divisible by 2. This tells us there are no two such integers.

The sum of the first 450 consecutive odd numbers is 450 squared or 202,500.

There are 450 even three-digit integers, from 100 to 998. This excludes numbers with leading zeroes (000 to 099).

100 to 999 is your range. there are 900 integers in this range. 450 are not divisble by 2 ( the odd ones). 600 are not divisble by 3. half of these are even so only an additional 300 integers are not divisble by 3 alone. so 450 & 300 =750

Even

450450450450

The greatest common multiple of any set of integers is infinite.

450/6 = 75

Any of the integers from 450 to 499 can be rounded to the nearest 100 as 500

The LCM is 450.

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