on a morning walk three persons step together and their steps measure measure 30 cm.36 cm and 40 cm respectively what is the maximum distance each should walk so that each can cover the same distance in complete the steps
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The maximum distance covered by third person 40 cm and each can cover same distance is the Simplest form of the three person
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Answer:
The minimum equal distance they cover is 360 cm.
Step-by-step explanation:
Given: Length of steps of 3 persons are 30 cm, 36 cm, and 40 cm
To find: Minimum equal Distance they cover in complete steps.
The common Minimum value of numbers is The LCM (lowest common multiple) of those no.
So, To find the minimum equal distance that they cover we find the LCM of 30, 36, 40.
We use the factorization method to find LCM,
30 = 2 × 3 × 5
36 = 2 × 2 × 3 × 3
40 = 2 × 2 × 2 × 5
⇒ LCM = 2 × 3 × 5 × 2 × 2 × 3
= 360
Therefore, The minimum Equal Distance they cover is 360 cm.
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