During their 98 morning walk, three persons step-off together, their steps measuring 80cm, 85cm and 90 cm, respectively. The minimum distance each should walk so that they can cover the distance in complete steps is ____cm.

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Detailed Solution

Concept- The minimum distance each should walk so that they can cover the distance in complete steps is 12240 cm.
To solve this question, we need to calculate the lowest common multiple of measurements of individual steps as data provided in theQuestion statement.
Multiples are the numbers which we obtain by multiplying a certain number by certain integers.
For example,
Question Image

And so on, 20,25, 30…
Hence, 5,10,15,20… are all multiples of 5
The Least Common Multiple of two or more numbers, as the name itself suggests, is the “smallest, non-zero, common number” which is individually a multiple of each of the numbers.
First, we will prime factorize the concerned numbers and then will calculate the LCM of the concerned numbers by multiplying every uncommon factor with one from every common factor pair of the concerned numbers obtained from the prime factorization process.
Concerned numbers are 80, 85, 90.
Question Image

Hence, the correct answer is 12240 cm.

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