A jar contains a large number of pennies. The pennies can be divided into equal shares among 3, 4, 5, 6, 7, or 8 children with no pennies left over each time. What is the least number of pennies the jar could contain? *

The least number of pennies the jar could contain is 840.

Explanation:

The least number of pennies the jar could contain refers to the Least Common Multiple (LCM) of 3, 4, 5, 6, 7, 8.

The least common multiple (LCM) of two or more numbers refers to the smallest number that is a multiple of all the numbers (except 0).

The LCM for 3, 4, 5, 6, 7, 8 can be obtained using the LCM function in Excel by inputting =LCM(3, 4, 5, 6, 7, 8) in any cell in an excel sheet (as done in the attached excel file).

From the attached excel file, we have:

LCM of 3, 4, 5, 6, 7, 8 = 840

Therefore, the least number of pennies the jar could contain is 840.

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