Question
Find the largest 5-digit number that is divisible by 18,
24, and 36.Solution
To find the largest 5-digit number divisible by 18, 24, and 36, calculate the least common multiple (LCM) of the three numbers. The LCM of 18, 24, and 36 is 72. The largest 5-digit number is 99999. Divide 99999 by 72: 99999 ÷ 72 = 1388 remainder 63. Subtract the remainder from 99999: 99999 - 63 = 99936. The largest 5-digit number divisible by 72 is 99936. Correct answer: a. 99936
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