6,12,15,24 largest 4 digit and smallest 3 digit divisible
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6 = 2*3
15 = 3*5
21 = 3*7
24 = 2³*3
∴ LCM of 6 , 15 , 21 , 24 = 2³ * 3 * 5 * 7 = 840
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largest four digit number = 9999
9999/840 -> Quotient = 11
Remainder = 759
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therefore , largest 4 digit number divisible by 6, 15, 21, 24 = 9240
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LCM = 840
since , 840 is a three digit number and it is their LCM (Least Common Multiple) ...
Therefore, smallest three digit number divisible by 6, 15, 21, 24 = 840
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hope it helps you...
please mark it as brainliest ...
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