The first 15 multiples of 43:
43, 86, 129, 172, 215, 258, 301, 344, 387, 430, 473, 516, 559, 602, 645 . . .
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The Least Common Multiple (LCM) for 24 48 43 is 2,064
The LCM of 7, 39 and 43 is 11739.
Only the number 1 goes into both 43 & 123... because 43 is a prime number.
None of them are multiples of 15. The be a multiple of 15, a number must have both the prime factors 3 and 5. None of them have a prime factor of 5, thus none can be a multiple of 15.
The idea is to round each of the numbers - in this case to the nearest multiple of 10 - then do the addition in your head.