find the least multiple of 23 which when divided by 18,21,24 leaves remainders 7,10,13 respectively
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The LCM of 18, 21 and 24 is 504 and if we add -11 to it (i. e. subtract 11 from it), we get 493 and this is the required number that leaves the remainders 7, 10 and 13 with the divisors 18, 21 and 24 respectively.
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