Three friends are exercising together. The first friend runs a lap in 12 minutes, the second in 18 minutes, and the third in 24 minutes. If they all start running together, after how many minutes will they all finish a lap together again?
Given:
Times taken for one lap: 12 min, 18 min, 24 min
Concept Used:
The time after which they meet again is the Least Common Multiple (LCM) of 12, 18, and 24.
Solution:
Prime factors:
12 = 2² × 3
18 = 2 × 3²
24 = 2³ × 3
LCM = 2³ × 3² = 8 × 9 = 72
They will all finish a lap together again after 72 minutes.
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