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2014-11-03T12:10:40+05:30

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LCM of 7,10,15,21, and 28 
7 is prime
10 = 2*5 
15 = 3*5
21 = 3*7
28 = 2²*7

LCM = 2² × 3 × 5 × 7 = 420
So the number should be divisible by 420

Largest five digit number = 99999

99999 ÷ 420 = 238 \frac{39}{420}

So remainder is 39.
The largest number divisible = 99999 - 39 = 99960


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2014-11-03T18:31:50+05:30
99960 is the correct answer

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