Match List I with List II:
![Screenshot 2025-04-06 131049.png](https://res.cloudinary.com/aptidude/image/upload/v1743925722/aptidude_questions/dznz2namooq7kbgxth6a.png)

Question

Accepted Answer

To solve the problem, we use the properties of LCM and HCF based on prime factorization.

1. **For A:** The LCM is calculated by taking the highest powers of each prime factor. For $$2, 3, 5,$$ and $$7$$:
   - Highest powers are: $$2^3, 3^3, 5^4,$$ and $$7^4$$.
   - Therefore, the result matches **(III)**.

2. **For B:** The HCF is calculated by taking the lowest powers of each prime factor common to both numbers. For $$2, 3,$$ and $$5$$:
   - Lowest powers are: $$2^3, 3^2,$$ and $$5$$.
   - Therefore, the result matches **(IV)**.

3. **For C:** The LCM is calculated by taking the highest powers of each prime factor across both numbers. For $$2, 3, 5,$$ and $$7$$:
   - Highest powers are: $$2^{12}, 3^5, 5^7,$$ and $$7^{14}$$.
   - Therefore, the result matches **(II)**.

4. **For D:** The HCF is calculated by taking the lowest powers of each prime factor common to both numbers. For $$2$$ and $$7$$:
   - Lowest powers are: $$2^6$$ and $$7^4$$.
   - Therefore, the result matches **(I)**.

Thus, the correct matching is **(c)**:  
(A)-(III), (B)-(IV), (C)-(I), (D)-(II).

Answer

Answer

Answer