Answer:
7
Step-by-step explanation:
factors of 126: 1, 126, 2, 63, 3, 42, 6, 21, 7, 18, 9, 14 and 84: 1, 84, 2, 42, 3, 28, 4, 21, 6, 14, or 7, 12
The greatest possible number of packs needed is 42 if 126 pieces of white chocolate and 84 pieces of dark chocolate are divided into packs with an equal number of pieces of each kind of chocolate.
It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.
We have:
126 pieces of white chocolate and 84 pieces of dark chocolate are divided into packs with an equal number of pieces of each kind of chocolate.
To find an equal number of pieces of each kind of chocolate.
First, find the factors of each number:
The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 126 are: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCF = 42
For the values 84, 126
Thus, the greatest possible number of packs needed is 42 if 126 pieces of white chocolate and 84 pieces of dark chocolate are divided into packs with an equal number of pieces of each kind of chocolate.
Learn more about the LCM here:
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