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: 2p2, 6pq4, 4p22𝑝2, 6𝑝𝑞4, 4𝑝2. A.12p2q412𝑝2𝑞4B.6p2q46𝑝2𝑞4C.6p4q26𝑝4𝑞2D.12p2q2
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.
Similar Questions
Determine the lowest common multiple (LCM) of the following three terms: 2p2 ,6pq4 ,4p2.Answer:The multiples of p are: p, p2The multiples of q are: q, q2 , q3 , q4The multiples of 2 are: 2, 4, 6, 8, 10, 12The multiples of 4 are: 4, 8, 12The multiples of 6 are: 6, 12Therefore, the LCM of 2p2 ,6pq4 ,4p2 is 12p2q4[1] 12p2q4[2] 6p2 q 4[3] 6p4q2[4] 12p2q2Question 7c [4]Determine the lowest common multiple (LCM) of the following three terms: 3a; 6b2 ;7a3b.Answer:The multiples of a are: a, a2 , a3The multiples of b are: b, b2The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42The multiples of 6 are: 6, 12, 18, 24, 30, 36, 42The multiples of 7 are: 7, 14, 21, 28, 35, 42Therefore, the LCM of 3a; 6b2 ;7a3b is 42a3b2[1] 42ab
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