Determine the lowest common multiple (LCM) of the following three terms: 2p2, 6pq4, 4p22𝑝2, 6𝑝𝑞4, 4𝑝2. A.12p2q412𝑝2𝑞4B.6p2q46𝑝2𝑞4C.6p4q26𝑝4𝑞2D.12p2q2
Question
Determine the lowest common multiple (LCM) of the following three terms:
A.
B.
C.
D.
Solution
To find the lowest common multiple (LCM) of the given terms, we need to find the highest power of each factor in the terms.
The terms are: 2p^2, 6pq^4, 4p^2
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For the numerical coefficients: The LCM of 2, 6, and 4 is 12.
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For the 'p' terms: The highest power of 'p' in the terms is p^2.
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For the 'q' terms: The highest power of 'q' in the terms is q^4 (from the second term).
So, the LCM of the terms is 12p^2q^4.
Therefore, the answer is A. 12p^2q^4.
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