Wilma is thinking of a number that is divisible by both 17 and 8. What is the

Mathematics

1 answer:

svet-max [94.6K]2 years ago

5 0

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:

$17=17$

$8=(2)(2)(2)=2^{3}$

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

$(17)(2^{3})=136$

$LCM=136$

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