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Wilma is thinking of a number that is divisible by both 17 and 8. What is the
smallest possible number that Wilma could be thinking of?

Explain the answer very clearly and you will get brainliest.

Respuesta :

carlosego

Answer: The smallest possible number is 136.

Step-by-step explanation:

1. You need to find the Least common multiple (LCM), which is the smallest of the common multiples of 17 and 8.

2. You can descompose 17 and 8 into primes factors. Then, you obtain:

[tex]17=17[/tex]

[tex]8=(2)(2)(2)=2^{3}[/tex]

3. Now, you must choose commons and no commons with the greatest exponent and multiply them. Therefore the result is:

[tex](17)(2^{3})=136[/tex]

[tex]LCM=136[/tex]