104
Question
on a morning walk 3 persons step off together and their steps measure 40 cm , 42 cm and 45 cm respectively what is the minimum distance each should walk so that each can cover the same distance in complete steps
on a morning walk 3 persons step off together and their steps measure 40 cm , 42 cm and 45 cm respectively what is the minimum distance each should walk so that each can cover the same distance in complete steps
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Solution
The minimum distance that they all three should walk will be the L.C.M. of 40, 42, 45.
Since 40=2×2×2×5
42=2×3×7
45=3×3×5
∴ L.C.M. of 40, 42 and 45 = 2×2×2×3×3×5×7= 2520cm = 25.20m
The minimum distance that they all three should walk will be the L.C.M. of 40, 42, 45.
Since 40=2×2×2×5
42=2×3×7
45=3×3×5
∴ L.C.M. of 40, 42 and 45 = 2×2×2×3×3×5×7= 2520cm = 25.20m
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