Question

Three bicycles riders circle a field in 45 50 and 54 seconds respectively if they start cycling together after how much minimum time will meet again​

Answer 1

Answer:

Step-by-step explanation:

If they complete round in45,50,54 seconds respectively,

They will meet at the LCM of these nos. I.e.

LCM of 45,50 and 54=1350

They will meet after 1350 seconds or

after 22minutes 30 seconds

Answer 2

Three bicycles riders will meet again after 1350 seconds

Solution:

Given that,

Three bicycles riders circle a field in 45 50 and 54 seconds respectively

They start cycling together after how much minimum time will meet again​

Which means,

We have to find least common multiple of 45, 50 and 54

FIND LCM OF 45, 50 and 54

List all prime factors for each number.  

Prime Factorization of 45 is:  3 x 3 x 5

Prime Factorization of 50 is:  2 x 5 x 5

Prime Factorization of 54 is:  2 x 3 x 3 x 3

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list

2, 3, 3, 3, 5, 5

Multiply these factors together to find the LCM

LCM = 2 x 3 x 3 x 3 x 5 x 5 = 1350

Thus they will meet again after 1350 seconds

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