# How many pairs of natural numbers exist such that when the LCM of the numbers is added to their sum a total of 49 is obtained?1236

## Question

## Solution 1

To solve this problem, we need to understand the concept of LCM (Least Common Multiple) and how it relates to the sum of two natural numbers.

Step 1: Understand the problem The problem is asking for pairs of natural numbers (a, b) such that LCM(a, b) + a + b = 49.

Step 2: Identify possible pairs

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