common multiple for each number pair.
1) 8, 15 ______
2) 20, 24 ______
3) 8, 6 ______
4) 15, 6 ______
5) 5, 8 ______
6) 4, 10 ______
7) 15, 4 ______
8) 15, 30 ______
9) 12, 24 ______
10) 10, 24 ______

Question

Accepted Answer

{ "quality": "clear", "question_count": 10, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Least Common Multiple" ], "new_concepts": [], "current_concepts": [ "Least Common Multiple" ] } ## Find LCM for pairs 1 to 3 $$ \begin{aligned} &\text{LCM}(8, 15) = 8 \times 15 = 120\ &\text{LCM}(20, 24) = \frac{20 \times 24}{\text{GCD}(20, 24)} = \frac{480}{4} = 120\ &\text{LCM}(8, 6) = \frac{8 \times 6}{\text{GCD}(8, 6)} = \frac{48}{2} = 24 \end{aligned} $$ ## Find LCM for pairs 4 to 7 $$ \begin{aligned} &\text{LCM}(15, 6) = \frac{15 \times 6}{\text{GCD}(15, 6)} = \frac{90}{3} = 30\ &\text{LCM}(5, 8) = 5 \times 8 = 40\ &\text{LCM}(4, 10) = \frac{4 \times 10}{\text{GCD}(4, 10)} = \frac{40}{2} = 20\ &\text{LCM}(15, 4) = 15 \times 4 = 60 \end{aligned} $$ ## Find LCM for pairs 8 to 10 $$ \begin{aligned} &\text{LCM}(15, 30) = 30\ &\text{LCM}(12, 24) = 24\ &\text{LCM}(10, 24) = \frac{10 \times 24}{\text{GCD}(10, 24)} = \frac{240}{2} = 120 \end{aligned} $$ | No. | Problem | Answer | |---|---|---| | 1 | $8, 15$ | 120 | | 2 | $20, 24$ | 120 | | 3 | $8, 6$ | 24 | | 4 | $15, 6$ | 30 | | 5 | $5, 8$ | 40 | | 6 | $4, 10$ | 20 | | 7 | $15, 4$ | 60 | | 8 | $15, 30$ | 30 | | 9 | $12, 24$ | 24 | | 10 | $10, 24$ | 120 | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Number Theory", "Least Common Multiple" ] }

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QUESTION IMAGE

Question

Explanation:

Find LCM for pairs 1 to 3

Find LCM for pairs 4 to 7

Find LCM for pairs 8 to 10

Answer:

No.	Problem	Answer
2	\(20, 24\)	120
3	\(8, 6\)	24
4	\(15, 6\)	30
5	\(5, 8\)	40
6	\(4, 10\)	20
7	\(15, 4\)	60
8	\(15, 30\)	30
9	\(12, 24\)	24
10	\(10, 24\)	120