15= 3x5
25=5x5
40=2x2x2x5
75=3x5x5
LCM(15, 25, 40, 75) = 2x2x2x3x5x5= 600
Greatest Four digit number = 9999
9999 = 600x16+399
Greatest Four digit number which is divisible by 15,25,40,75 is (9999-399) = 9600.
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