If it is a multiple of 3,8 and 12 the least common multiple is found using prime factorization...
3=3, 8=2*2*2, 12=2*2*3
The LCM is the product of the highest occurring primes for the three numbers...
LCM=2*2*2*3=24
So the number must be a multiple of 24 and to be between 61 and 107 we can say:
61<24n<107 divide all terms by 24
2.5<n<4.4
The possible integer values for n are 3 and 4
And since the numbers are 24n, there are two such numbers which fall in between 61 and 107 and they are
24*3 and 24*4
72 and 96
