| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | B. 20 |
B |
| deepseekr1 | The least common multiple (LCM) of 4 and 10 is the smallest number divisible by both. Listing multiples of 4 (4, 8, 12, 16, **20**, ...) and 10 (10, **20**, 30, ...), the smallest common multiple is 20. Using prime factorization, 4 = 2² and 10 = 2 × 5. The LCM combines the highest powers of all primes: 2² × 5 = 20. Among the options, **B (20)** is correct. Answer: B |
B |
| gpto1 | B | B |
| GPT-4o | B. 20 | B |
| llama3.1-70B-Instruct | B |
B |
| llama3.1-405B-Instruct | B. 20 |
B |
| DeepSeek-Coder-V2 | B. 20 | B |
| Qwen2-72B-Instruct | B. 20 | B |
| baichuan4 | B. 20 | B |
| doubao | B The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40,... The multiples of 10 are: 10, 20, 30, 40,... The least common multiple of 4 and 10 is 20. |
B |
| minimax | C. 40 | B |
| kimi | To find the least common multiple (LCM) of 4 and 10, we can list the multiples of each number until we find the smallest number that appears in both lists: Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, ... Multiples of 10: 10, 20, 30, 40, 50, 60, ... The smallest number that appears in both lists is 20. Answer: B. 20 |
B |
| wenxinyiyan | B | B |
| zhipu | B. 20 The least common multiple (LCM) of 4 and 10 is 20. The LCM is the smallest number that is a multiple of both 4 and 10. Here's a brief calculation: - Multiples of 4: 4, 8, 12, 16, 20, ... - Multiples of 10: 10, 20, 30, ... The smallest common multiple in both lists is 20. Therefore, the answer is B. 20. |
B |
| gpto1 | B | B |
| deepseekv3 | To find the least common multiple (LCM) of 4 and 10, follow these steps: 1. **Find the prime factors of each number:** - 4 = 2 × 2 - 10 = 2 × 5 2. **Identify the highest power of each prime factor:** - The prime factors involved are 2 and 5. - The highest power of 2 is \(2^2\) (from 4). - The highest power of 5 is \(5^1\) (from 10). 3. **Calculate the LCM by multiplying the highest powers of all prime factors:** \[ \text{LCM} = 2^2 × 5^1 = 4 × 5 = 20 \] Thus, the least common multiple of 4 and 10 is **20**. **Answer:** B. 20 |
B |