Three rabbits can hop 5 feet, 6 feet and 7 feet respectively in each hop. If they start from a point in the same direction, after how many feet will all 3 of them touch the same feet line the next time?

Answer :

As given  :  Three rabbits can hop 5 feet, 6 feet and 7 feet respectively in each hop.

So to find out how many feet after all 3 of them touch the same feet line the next time , WE find LCM of all three rabbits hop lengths , As  :



SO,

LCM ( 5 , 6  , 7 ) =  2 $\times$ 3 $\times$ 5 $\times$ 7  =  210

SO,
After 210 feet all 3 of them touch the same feet line the next time .  ( Ans )