80 and 100
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No, 16 is not between 67 and 113. Multiples of 8 in that range include, 72, 80, 88, 96, 104 and 112.
There are 67 multiples of 6 and 50 multiples of 8 in that range. Their total, 117, will include numbers that are both.
Factoring isn't necessary as both are primes so the LCM=13*71=923
A multiple has to be equal to or larger than the number itself, so there are no multiples for 359 that are between 67 and 113. 359 is a prime number, so it has no factors between 67 and 113 either.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804.