Adam drew two same size rectangles and divided them into the same number of equal parts.He shaded one third of one rectangle and one forth of the other rectangle.What is the least number of parts into which both rectangles could be divided?
What is the least common multiple of 3 and 4?
To find the least number of parts into which both rectangles could be divided, we first need to find the least common multiple (LCM) of 3 and 4. This will give us the number of equal parts needed to divide both rectangles.
To find the LCM of 3 and 4, we can list the multiples of each number and find the first common multiple:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, ...
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, ...
From the lists above, we can see that the first common multiple of 3 and 4 is 12. Therefore, the least number of parts into which both rectangles could be divided is 12.