three friends go for a morning walk step off together from same spot. their step measure 40 cm , 45 cm , 48 cm respectively . what step meausures that all can cover the distance in complete steps ?
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Answer:
720 cm
Step-by-step explanation:
For all of them to cover the same distance in complete steps, we need to find the LCM of their step measures .
LCM of 40,45 and 48:
We can start by writing the prime factor expansion of each of the following
40= 2*2*2*5
45= 3*3*5
48= 2*2*2*2*3
Now LCM of 40 and 45 = 45*8=40*9= 360
360= 2*2*2*3*3*5
LCM of 360 and 48 = 48*15 = 360*2 =720
Thus they need to cover 720 cm so that all of them have complete steps
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