Find the least multiple of 23, which when divided by 18, 21, and 24 leaves the remainder 7,10 and 13 respectively.
Here
LCM of 18,2118, 2118,21 and 242424 is 504.504.504.
Let the required number be 504k−11.504k - 11.504k−11.
Least value of kkk for which (504k−11)(504k - 11)(504k−11) is divisible by 232323 is k=6k = 6k=6
Required number
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