The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. What is the largest number?
Choose the correct answer.
A) 280
B) 284
C) 292
D) 320
E) 322

Rationale: hcf of the two numbers = 23 since hcf will be always a factor of lcm , 23 is a factor of the lcm . given that other two factors in the lcm are 13 and 14 . hence factors of the lcm are 23 , 13 , 14 so , numbers can be taken as ( 23 × 13 ) and ( 23 × 14 ) = 299 and 322 hence , largest number = 322 e )
Answer: E