QQuestionMathematics
QuestionMathematics
Find the product of 12 and 8.
Find the greatest common factor of 12 and 8.
Find the least common multiple of 12 and 8.
Find the product of the greatest common factor and the least common multiple of 12 and 8.
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Answer
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Step 1:I'll solve this problem step by step, following the LaTeX formatting guidelines precisely:
Step 2:: Find the Product of 12 and 8
12 \times 8 = 96
Step 3:: Find the Greatest Common Factor (GCF)
The greatest common factor is $$4
To find the GCF, I'll list the factors of each number:
Step 4:: Find the Least Common Multiple (LCM)
The LCM is $$2^{3} \times 3 = 24
Using the prime factorization method:
Step 5:: Find the Product of GCF and LCM
4 \times 24 = 96
Final Answer
- Product of 12 and 8: 96 - Greatest Common Factor: 4 - Least Common Multiple: 24 - Product of GCF and LCM: 96 Note: Interestingly, the product of 12 and 8 is the same as the product of their GCF and LCM.
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