word problems

GCF (HCF) | LCM |

Maximum Greatest biggest largest |
Minimum least lowest Smallest simultaneously altogether |

Hence,

825 =

675 =

The common factor of 825 and 675 is 3,5,5.

Thus the maximum capacity of the required container is 3 x 5 x 5 = 75

Therefore, the first tanker will require 11 seconds to fill it and 2nd tanker will 9 seconds to fill it.

So to find the LCM you can use a method of prime factorization.

Thus, the LCM of 75,80 and 90 is = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 3600

So the required minimum distance is 3600 cm.

Thus, the LCM of 48,72 and 108 = 2 x 2 x 2 x 2 x 3 x 3 x 3= 432 seconds So after 144 seconds = 7 min 12 seconds All the traffic lights will change simultaneously 7 min 12 seconds past 7 am.

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