find the least common multiple of these two expressions.

(12u^5 x^6 v^8) and (20u^4 x^7)

Question

find the least common multiple of these two expressions.

(12u^5 x^6 v^8) and (20u^4 x^7)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Least Common Multiple", "Algebraic Expressions" ], "current_concepts": [ "Least Common Multiple", "Algebraic Expressions" ] } ## Find the LCM of the numerical coefficients $$ \begin{aligned} &\text{lcm}(12, 20) = 60 \end{aligned} $$ ## Find the highest power of each variable $$ \begin{aligned} &u: \max(5, 4) = 5 \ &x: \max(6, 7) = 7 \ &v: \max(8, 0) = 8 \end{aligned} $$ ## Combine the numerical LCM and variable powers $$ \text{LCM} = 60u^5x^7v^8 $$ Find the least common multiple of these two expressions. $12u^5x^6v^8$ and $20u^4x^7$ $60u^5x^7v^8$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Least Common Multiple" ] }

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QUESTION IMAGE

Question

Explanation:

Find the LCM of the numerical coefficients

Find the highest power of each variable

Combine the numerical LCM and variable powers

Answer: