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a quality control inspector in an egg factory checks every forty eighth egg for cracks and every fifty fourth egg for weight. what is the number of the first egg each day that the inspector check for both qualities?

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12y ago
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11y ago

The answer is the 432nd egg.

Explanation: Since the quality control inspector check every forty-eighth egg for a crack, and every fifty-forth egg for weight, the time the inspector checks one particular egg for both qualities is basically the LCM of the two numbers.

Cracks: 48,96,144,192,240... 432

Weight: 54,108,162,216,270... 432

LCM Method: 3; 48 and 54

2; 16 and 18

8 and 9 (3*2*8*9 = 432)

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Q: A quality control inspector in an egg factory checks every forty eighth egg for cracks and every fifty fourth egg for weight what is the number of the first egg each day that the inspector check for?
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