37. Find the smallest number that, when divided by $\frac{35}{66}$, $\frac{28}{165}$, and $\frac{25}{231}$, results in natural numbers.
37. The numerator of the fraction of the desired number should be the least common multiple of the numbers 35, 28, and 25, and the denominator should be the greatest common divisor of the numbers 66, 165, and 231. The first of these numbers is $4 \cdot 5^{2} \cdot 7=700$, and the second is $3 \cdot 11=33$. Therefore, the desired number is $\frac{700}{33}$.