| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | C. 72 |
C |
| deepseekr1 | The LCM of 24 and 36 can be found using prime factorization. - Prime factors of 24: \(2^3 \times 3^1\) - Prime factors of 36: \(2^2 \times 3^2\) The LCM is obtained by taking the highest powers of all primes involved: \(2^3 \times 3^2 = 8 \times 9 = 72\). Thus, the correct answer is **C. 72**. Answer: C |
C |
| gpto1 | C | C |
| GPT-4o | C. 72 | C |
| llama3.1-70B-Instruct | B |
C |
| llama3.1-405B-Instruct | C. 72 |
C |
| DeepSeek-Coder-V2 | C. 72 | C |
| Qwen2-72B-Instruct | C. 72 | C |
| baichuan4 | B. 144 | C |
| doubao | C Prime factorization of 24 = 2 × 2 × 2 × 3; Prime factorization of 36 = 2 × 2 × 3 × 3. The LCM is the product of the highest powers of all prime factors, so LCM(24, 36) = 2 × 2 × 2 × 3 × 3 = 72. |
C |
| minimax | C. 72 The least common multiple (LCM) of 24 and 36 can be found by prime factorization of both numbers and then taking the highest powers of all the primes that appear. 24 = 2^3 * 3^1 36 = 2^2 * 3^2 Taking the highest powers of all primes, we get: LCM = 2^3 * 3^2 = 8 * 9 = 72 So the correct answer is C. 72. |
C |
| kimi | To find the Least Common Multiple (LCM) of 24 and 36, we can use the prime factorization method. Prime factorization of 24: \( 24 = 2^3 \times 3^1 \) Prime factorization of 36: \( 36 = 2^2 \times 3^2 \) The LCM is found by taking the highest power of each prime number that appears in the factorization of either number: LCM = \( 2^3 \times 3^2 \) Calculating this gives us: LCM = \( 8 \times 9 \) LCM = 72 So the correct answer is: C. 72 |
C |
| wenxinyiyan | C Explanation: To find the LCM (Least Common Multiple) of 24 and 36, we first need to find the prime factorization of both numbers. $24 = 2 \times 2 \times 2 \times 3 = 2^3 \times 3^1$ $36 = 2 \times 2 \times 3 \times 3 = 2^2 \times 3^2$ The LCM is found by taking the maximum power of each prime factor from both numbers: $\text{LCM}(24, 36) = 2^3 \times 3^2 = 72$ Therefore, the LCM of 24 and 36 is 72, which corresponds to option C. |
C |
| zhipu | C. 72 To find the Least Common Multiple (LCM) of 24 and 36, we can use the prime factorization method: - Prime factorization of 24: \( 24 = 2^3 \times 3^1 \) - Prime factorization of 36: \( 36 = 2^2 \times 3^2 \) The LCM is found by taking the highest power of each prime that appears in these factorizations: - The highest power of 2 is \( 2^3 \) - The highest power of 3 is \( 3^2 \) So, the LCM is \( 2^3 \times 3^2 = 8 \times 9 = 72 \). Therefore, the correct answer is C. 72. |
C |
| gpto1 | C | C |
| deepseekv3 | To find the **Least Common Multiple (LCM)** of 24 and 36, we can use the **prime factorization** method. ### Step 1: Find the prime factors of each number - **24**: \( 24 = 2 × 2 × 2 × 3 = 2^3 × 3^1 \) - **36**: \( 36 = 2 × 2 × 3 × 3 = 2^2 × 3^2 \) ### Step 2: Identify the highest powers of all prime factors - For **2**: the highest power is \( 2^3 \) (from 24). - For **3**: the highest power is \( 3^2 \) (from 36). ### Step 3: Multiply the highest powers together \[ \text{LCM} = 2^3 × 3^2 = 8 × 9 = 72 \] ### Final Answer: The LCM of 24 and 36 is **72**. Answer: **C** |
C |