Greatest no of five digit devided by 6,18,20,24,30 leaves reminder 3 in each case
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Greatest 5-digit number = 99999.
LCM of 6,18,20,24,30 = 360.
After dividing 99999 by 360, we get 277 as quotient.
Required greatest 5-digit number which leaves remainder 3 is:
= 360 * 277 + 3
= 99723
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