Find the least 6– digit number which leaves remainder 3 in each case when divided by 5, 10, 12, 15, 18, 25 and 30.
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The smallest number which when divided by the given numbers leaves the remainder 3 can be obtained by adding 3 to the LCM of given numbers. ∴ Least / smallest number which when divided by 5, 10, 12, 15, 18, 25, and 30 leaves the remainder 3 is 900 + 3 = 903.
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