In a morning walk. 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 they can cover the distance in complete steps?
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Step-by-step explanation:
Required minimum distance each should walk will be the LCM of 80 CM, 85 cm and 90 cm.
Factors of 80, 85 and 90 are:
80= 2× 2× 2× 2× 5= 2⁴× 5¹
85= 5×17
90= 2 ×3× 3 ×5= 2¹× 3²×5¹
LCM= 2⁴× 3²×5×17= 12240 cm
Hence, the minimum distance they should walk to cover the distance is 122 m and 40 cm
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