Three friends , and start running around a circular stadium and complete a single round in , and respectively. After how many minutes will they meet again at the starting point?
- A
- B
- C
- D
Solution & Step-by-step Explanation
To find the time when they will meet again at the starting point, we need to find the Least Common Multiple () of their individual round timings: and .
Step 1: Prime factorization of the numbers:
*
*
*
Step 2: Find the by taking the highest powers of all prime factors involved:
Step 3: Convert the time from seconds into minutes:
Thus, they will meet again at the starting point after .
Step 1: Prime factorization of the numbers:
*
*
*
Step 2: Find the by taking the highest powers of all prime factors involved:
Step 3: Convert the time from seconds into minutes:
Thus, they will meet again at the starting point after .