Question
Find the largest 4-digit number that is exactly
divisible by 27 and 45.Solution
The number must be divisible by LCM(27, 45). LCM of 27 and 45 = 135. Largest 4-digit number is 9999. Divide 9999 by 135: Quotient = 74. Largest number divisible by 135 = 135 × 74 = 9990. Correct Option: c
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