SOLUTION: Sears has a sale on mechanics tool chests every 40 days and a sale on mechanics tool sets every 60 days. If both are on sale today, how long will it be before they are on sale tog

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: Sears has a sale on mechanics tool chests every 40 days and a sale on mechanics tool sets every 60 days. If both are on sale today, how long will it be before they are on sale tog      Log On


   



Question 697858: Sears has a sale on mechanics tool chests every 40 days and a sale on mechanics tool sets every 60 days. If both are on sale today, how long will it be before they are on sale together again?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Sears has a sale on mechanics tool chests every 40 days and a sale on mechanics tool sets every 60 days. If both are on sale today, how long will it be before they are on sale together again?
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Using prime-factor method of finding the least common multiple:
40 = 2^3*5
60 = 2^2*3*5
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lcm = 2^3*3*5
lcm = 8*15
lcm = 120 days
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Cheers,
Stan H.