A number is a common multiple of 7 and 11. It is the least such number with a sun of its digits equal to 11. Find the number.

7*11 = 77

77*4 = 308

Did you know?

Did you know that when finding a common multiple of two numbers, you can sometimes consider their least common multiple, which is the smallest number that is evenly divisible by both numbers? To find a specific common multiple, it is helpful to examine its properties. For instance, let's take the numbers 7 and 11. The least common multiple of 7 and 11 is the smallest number that can be evenly divided by both. In this case, we want to find the least common multiple that has a sum of its digits equal to 11. After some exploration, we discover that the number we are looking for is 77. When its digits (7 and 7) are added together, the sum is indeed 11. So, 77 is the least common multiple of 7 and 11 with a sum of its digits equal to 11. This mathematical insight shows how least common multiples can have interesting properties, making them a fascinating area of study within number theory.