SOLUTION: The RSM Seed Company sells seeds for the Rare Rose, which blooms every 12 years; the Seldom Sunflower, which blooms every 7 years; and the Miracle Magnolia, which blooms every 50 y

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Question 1074396: The RSM Seed Company sells seeds for the Rare Rose, which blooms every 12 years; the Seldom Sunflower, which blooms every 7 years; and the Miracle Magnolia, which blooms every 50 years. If all three plants bloom in 2016, in what year will all three of them bloom again the next time?
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
This problem needs the least common multiple of 7, 12, and 50. So, factoring each, we get:
7=7x1
12=2x2x3
50=2x5x5
So, the least multiple is 2x2x3x5x5x7, or 2100. So, 2016+2100= the year 4116 as the next time all three will bloom in the same year. ☺☺☺☺