The first multiples of 6 are 6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96 and 102. Is that enough?
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To find the first multiple of 6 that has 7 as a factor, we need to find the least common multiple (LCM) of 6 and 7. The LCM of 6 and 7 is 42. Therefore, the first multiple of 6 that has 7 as a factor is 42.
30
6, 12 and 18.
424 is an even number so passes first test, but digits do not add to a multiple of 3 so it fails second. It is not a multiple of 6. 426, however, is, as is 444.
126