Three persons step off together for a morning walk. Their steps measure 72cm, 80cm and 84cm respectively. At what distance from the starting point will they again step off together?
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Answer:
12240 cm
Step-by-step explanation:
GIVEN: Their steps measure 80 cm, 85 cm, and 90 cm.
We have to find the L.C.M of the measures of their steps to calculate the required distance each should walk.
L.C.M of 80 cm, 85 cm, and 90 cm.
80=2
4
×5
85=17×5
90=2×3
2
×5
L.C.M(80,85,90)=2
4
×3
2
×5×17
=12240cm
Hence, the minimum distance each should walk so that all can cover the same distance in complete steps is 12240 cm. or 122m 40cm
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