Three countries X,Y and Z hold their general elections every 4,5 and 7 years respectively. They held their elections in the same year in 2010. When is the next time that they will hold elections?

Question

Three countries X,Y and Z hold their general elections every 4,5 and 7 years respectively.  They held their elections in the same year in 2010. When is the next time that they will hold elections?

Anonymous · Answer

The next time all three countries will hold elections in the same year will be in 2030.

Country X will hold elections in 2014, 2018, 2022, 2026, and 2030.
Country Y will hold elections in 2015, 2020, 2025, and 2030.
Country Z will hold elections in 2017, 2024, and 2031.

Therefore, the next time all three countries will hold elections in the same year will be in 2030.

Anonymous · Answer

Do we first get the LCM which is 140 after that what do we do?

Anonymous

Three countries X,Y and Z hold their general elections every 4,5 and 7 years respectively. They held their elections in the same year in 2010. When is the next time that they will hold elections?

2 answers

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