The HCF of two numbers is 23 and the other two factors of

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The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. The larger of the two numbers is :

1. 276
2. 299
3. 345
4. 322

Correct Option: E

Let the numbers be 23p and 23q .where p and q are co-prime.
∴ LCM = 23pq
According to question ,
23pq = 23 × 13 × 14
∴ p = 13, q = 14
∴ The larger number = 23q = 23 × 14 = 322