What is the largest five-digit number that is divisible by 9, 15, 16, 21, and 5?
Show answer & explanation
Correct answer: A
Explanation
LCM of 9, 15, 16, 21
= 2⁴ × 3² × 5 × 7
= 16 × 9 × 5 × 7
= 5040
Largest five-digit number = 99999
99999 ÷ 5040 = 19 (remainder)
Largest multiple = 5040 × 19 = 95760