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Maharashtra Class 7 Answered

⦁    Rohan comes back home for a vacation every 60 days. Rahul comes back home for a vacation every 45 days. Ram comes back home for a vacation every 120 days. If they all leave the house on 7th June, 2019, when will the 3 come home together?
Asked by sanjana.pravina123 | 26 Aug, 2020, 06:02: PM
answered-by-expert Expert Answer
In this question, to find the day when all three boys meet, we need to use the concept of LCM 
Day when all three meets = LCM of 60, 45 and 120
45 = 32 x 5
60 = 22 x 3 x 5
120 = 23 x 3 x 5
LCM = 23 x 32 x 5 = 360
Hence, they all come together after 360 days.
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