Sheela has stickers of a certain number that she could arrange in rows...
The Problem:
Sheela has stickers of a certain number that she could arrange in rows of 4 or 6. What is the least number of stickers she has?
Solution:
To find the least number of stickers Sheela has, we need to find the smallest number that can be divided evenly by both 4 and 6. This is because Sheela wants to arrange the stickers in rows of either 4 or 6, so the number of stickers must be a multiple of both 4 and 6.
Identifying Common Multiples:
To find the common multiples of 4 and 6, we can list the multiples of each number and see where they intersect:
Multiples of 4:
4, 8, 12, 16, 20, 24, 28, ...
Multiples of 6:
6, 12, 18, 24, 30, 36, ...
Finding the Least Common Multiple (LCM):
From the list above, we can see that the multiples 12 and 24 are common to both 4 and 6. The least common multiple (LCM) is the smallest number that is a multiple of both 4 and 6, which in this case is 12. Therefore, Sheela must have at least 12 stickers.
Explanation:
If Sheela has 12 stickers, she can arrange them in rows of 4 and have 3 rows:
4 stickers in the first row,
4 stickers in the second row, and
4 stickers in the third row.
Alternatively, Sheela can also arrange the 12 stickers in rows of 6 and have 2 rows:
6 stickers in the first row, and
6 stickers in the second row.
In both cases, the stickers are arranged in complete rows without any leftover stickers. Therefore, the least number of stickers Sheela has is 12.
Visual Representation:
Here is a visual representation of how Sheela can arrange the 12 stickers in rows of 4 and 6:
Arrangement in rows of 4:
4 4 4
Arrangement in rows of 6:
6 6
Conclusion:
The least number of stickers Sheela has is 12, as it is the smallest number that can be divided evenly by both 4 and 6.
Sheela has stickers of a certain number that she could arrange in rows...
Sheela has stickers of a certain number that she has could arrange in rows of 4 or 6. What is the least number of stickers she has
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