Question
Download Solution PDFFind the absolute difference between the greatest 3-digit number and the smallest 4-digit number divisible by 12, 25 and 18.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Greatest 3-digit number = 999
Smallest 4-digit number = 1000
We need to find LCM of 12, 25, and 18 to solve this problem.
Solution:
⇒ LCM of 12, 25, and 18 = 900 (Highest number divisible by 12, 25, and 18 in the 3-digit range)
⇒ The next multiple of 900 in the 4-digit range = 1800
⇒ Difference = 1800 - 900 = 900
Hence, the absolute difference between the greatest 3-digit number and the smallest 4-digit number divisible by 12, 25, and 18 is 900.
Last updated on Jul 8, 2025
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