Three dogs barked all night last night. Lola, Patch, and Lady began barking together at 11:00 p. m. Then, Lola barked every 5 minutes, Patch every 8 minutes, and Lady every 12 minutes. Later that night, Ms. Li was awakened when all 3 dogs barked together again. At what time was Ms. Li awakened?

1:00 a.m. (and 3:00 a.m., and 5:00 a.m.)

Step-by-step explanation:

find the least common multiple (LCM) of the barking intervals.

... 5 = 5 . . prime number

... 8 = 2³

... 12 = 2²×3

The factor 2³ is a multiple of the factor 2², so we only need 2³ in our final product.

LCM is then ...

... 2³×3×5 = 120 . . . . minutes

The dogs will all bark together every 120 minutes (2 hours).

2 hours after 11 p.m. is 1 a.m.

sorry man i accidentally pressed yes my bad

step-by-step explanation:

answer: (3,11) is your answer.