It is 48
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There is no highest common multiple of 14 and 16. Whatever common multiple you come up with as the highest I can always add the lowest common multiple of 14 and 16 (122) to it and get a higher common multiple of 14 and 16.
The first common multiple of 12 and 16 is 48.
The least common multiple of 16 , 8 , 12 = 48
The least common multiple of the numbers 8, 12 and 16 is 48.
Well, honey, the least common multiple of 2, 12, and 16 is 48. You take the highest power of each prime number that appears in the factorization of each number, and then multiply them all together. Voilà, you've got your answer!