find the least common multiple

1) 3, 20 ______
2) 30, 8 ______
3) 20, 6 ______
4) 24, 5 ______
5) 24, 2 ______
6) 12, 5 ______
7) 10, 40 ______
8) 10, 30 ______
9) 6, 10 ______
10) 12, 8 ______

Question

find the least common multiple

1) 3, 20 ______
2) 30, 8 ______
3) 20, 6 ______
4) 24, 5 ______
5) 24, 2 ______
6) 12, 5 ______
7) 10, 40 ______
8) 10, 30 ______
9) 6, 10 ______
10) 12, 8 ______

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 questions 1 to 3 $$ \begin{aligned} &\text{LCM}(3, 20) = 3 \times 20 = 60\ &\text{LCM}(30, 8) = \frac{30 \times 8}{\text{GCD}(30, 8)} = \frac{240}{2} = 120\ &\text{LCM}(20, 6) = \frac{20 \times 6}{\text{GCD}(20, 6)} = \frac{120}{2} = 60 \end{aligned} $$ ## Find LCM for questions 4 to 7 $$ \begin{aligned} &\text{LCM}(24, 5) = 24 \times 5 = 120\ &\text{LCM}(24, 2) = 24\ &\text{LCM}(12, 5) = 12 \times 5 = 60\ &\text{LCM}(10, 40) = 40 \end{aligned} $$ ## Find LCM for questions 8 to 10 $$ \begin{aligned} &\text{LCM}(10, 30) = 30\ &\text{LCM}(6, 10) = \frac{60}{\text{GCD}(6, 10)} = \frac{60}{2} = 30\ &\text{LCM}(12, 8) = \frac{96}{\text{GCD}(12, 8)} = \frac{96}{4} = 24 \end{aligned} $$ | No. | Problem | Answer | |---|---|---| | 1 | $3, 20$ | $60$ | | 2 | $30, 8$ | $120$ | | 3 | $20, 6$ | $60$ | | 4 | $24, 5$ | $120$ | | 5 | $24, 2$ | $24$ | | 6 | $12, 5$ | $60$ | | 7 | $10, 40$ | $40$ | | 8 | $10, 30$ | $30$ | | 9 | $6, 10$ | $30$ | | 10 | $12, 8$ | $24$ | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Number Theory", "Least Common Multiple" ] }

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Find LCM for questions 1 to 3

Find LCM for questions 4 to 7

Find LCM for questions 8 to 10

Answer: