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Starting at the same time, Bill rings a bell every $36$ seconds, and Wendy blows a whistle every $90$ seconds, and Sam blows a horn every $385$ seconds.  How many minutes will it be before both Bill and Wendy and Sam simultaneously make a sound?

 
 Oct 6, 2024
 #1
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Using prime factoriazation

36 = 2 x 2 x 3 x 3 

90 = 2 x 3 x 3 x 5 

385 = 5 x  7 x 11

 

2 x 2 x 3 x 3 x 5 x 7 x 11 = 13860 seconds  = 231 minutes 

 Oct 7, 2024

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