Question

6,12,15,24 largest 4 digit and smallest 3 digit divisible

Answer 1

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

.

therefore , largest 4 digit number divisible by 6, 15, 21, 24 = 9240

..

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...

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