three persons step off together their steps measure 80 cm ,85 cm and 90 cm respectively.what is the minimum distance each should walk so that all can cover the same distance in complete steps
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Find the LCM of 80 85 90 that is 12240
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Heya!
In order to find the minimum distance each should walk so that all can cover the same distance in complete steps, we must find the LCM of the three numbers.
80= 2 * 2 * 2 * 2 * 5 = 2⁴ * 5¹
85= 5 * 17= 5¹ * 17¹
90= 2 * 3 * 3 * 5 = 2¹ * 3² * 5¹
Therefore, LCM ( 80, 85, 90) = 2⁴ * 3² * 5¹ * 17¹
= 16 * 9 * 5 * 17
=12240
So Required distance = 12240 cm
= 0.1224 km
Hope it helps
In order to find the minimum distance each should walk so that all can cover the same distance in complete steps, we must find the LCM of the three numbers.
80= 2 * 2 * 2 * 2 * 5 = 2⁴ * 5¹
85= 5 * 17= 5¹ * 17¹
90= 2 * 3 * 3 * 5 = 2¹ * 3² * 5¹
Therefore, LCM ( 80, 85, 90) = 2⁴ * 3² * 5¹ * 17¹
= 16 * 9 * 5 * 17
=12240
So Required distance = 12240 cm
= 0.1224 km
Hope it helps
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