Question

What is the smallest integer greater than 2 that will have a remainder of 2 when divided by any member of the set {3, 4, 5, 6, 8}?

Answer 1

The smallest integer lies in this data set are 61 and 65

Data;

• Divisor = 2
• remainder = 2
• quotient = {3, 4, 5, 6, 8}

Data Set

These are set of values in which we are going to use in order to perform this operation.

To solve this problem, we need to solve for  the LCM of 3, 4, 5, 6 and add 2 to the result.

The least common multiple of the four numbers is 60, and by adding 2, we find that that such number is 62.

Now we need to find the only given range that contains 62. The only such range is answer 61, and so our final answer is 61 and 65.

The answer to this question is 61 and 65

Learn more on least common multiples here;

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