Musical instruments can be tuned using harmonics. Consider a guitar where the lo

Question

Musical instruments can be tuned using harmonics. Consider a guitar where the low E string has a frequency of 82.4 Hz and the A string has a frequency of 110.0 Hz. What are the lowest harmonics for each string that can be used to produce the same note (within 1 Hz)? Enter the harmonic number for the low E string, followed by the harmonic number for the A string.
You have 4 tries.

Two Answers Needed:

Harmonic for E String:

Harmonic for A String:

(I HAVE ONLY FOUR TRIES FOR THIS, SO PLEASE MAKE SURE THE ANSWER IS RIGHT! LIFESAVER WILL BE AWARDED FOR THE CORRECT ANSWER! Preferly Show Steps!)

Explanation / Answer

The lowest frequency harmonic producable by both strings is the least common multiple (within a hertz) of 110 and 82.4, which is 330 and 329.6 Hz, which is the third harmonic on the A string and the fourth on the e string.

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