Question

In a morning walk, 3 person's step off together. There steps measured 80 cm, 85 cm, 90 cm. What is the minimum distance they should walk so that they complete distance in full steps

Answer 1

Hey!

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Well, we need to just take L.C.M

80 = 2×2×2×2×5
85 = 5×17
90 = 2×5×3×3

L.C.M = 12240

Minimum distance they should walk so that they complete distance in full steps is 12240 m.

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Hope it helps •_•

Answer 2

Hey!!!!

Here minimum distance = LCM(80,85,90)

thus by Prime Factorisation Method,

=> 80 = 2⁴ x 5
=> 85 = 5 x 17
=> 90 = 2 x 3² x 5

Thus LCM = 2⁴ x 3² x 5 x 17

=> LCM = 16 x 9 x 85
=> LCM = 12240 steps.

Thus minimum 12240 steps they should walk to complete distance in full steps.

Hope this helps