Question

Hays linens sells hand towels in set of 17 and bath towels in set of six if the store sold the same number of each morning what is the smallest number of each type of towels that the store must have sold

Answer 1

The smallest number of each type of towels that the store must have sold is 102

Explanation:

we know that

To find out the smallest number of each type of towels that the store must have sold, determine the Least Common Multiple (LCM)

Find the prime factorization of the numbers 17 and 6

`17=17\\6=(2)(3)`

The prime factorization of the LCM includes all prime factors found in the numbers, with the greatest exponents (if any)

The LCM is

`(17)(2)(3)=102`

therefore

The smallest number of each type of towels that the store must have sold is 102