Ramesh Rajesh and Rohit start at the same point in the same direction to run around a circular Stadium Ramesh completes a round in 504 seconds Rajesh in 616 seconds and Rohit in 396 seconds all starting at the same point after what time will they meet again at the starting point
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just find out the lcm of 504,616 and 396
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Answer:
They meet again after 5544 seconds at starting point.
Step-by-step explanation:
Time taken by Ramesh to complete 1 round = 504 seconds
Time taken by Rajesh to complete 1 round = 616 seconds
Time taken by Rohit to complete 1 round = 396 seconds
To find the time when they meet again at starting point we find LCM of 504 , 616 . 396
we use prime factorization method,
Prime Factorization of 504 = 2 × 2 × 2 × 3 × 3 × 7
Prime Factorization of 616 = 2 × 2 × 2 × 7 × 11
Prime Factorization of 396 = 2 × 2 × 3 × 3 × 11
LCM = 2 × 2 × 2 × 7 × 3 × 3 × 11 = 5544
Therefore, They meet again after 5544 seconds at starting point.
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