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Year 4 Version On the coast there are three lighthouses

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 Lighthouses Year 4 Version On the coast there are three lighthouses The first light shines for 3 seconds then it is off for three seconds. The second light shines for 4 seconds then it is off for 4 seconds. The third light shines for 5 seconds then it is off for 5 seconds All three lights have just come on together. When is the first time that all three of the lights will be off together? When is the next time that all three lights will come on at exactly the same moment? answers Make an on/off table for the three lighthouses lighthouse A 1 1 1 0 0 0 1 1 1 0 0 0 lighthouse B 1 1 1 1 0 0 0 0 1 1 1 1 lighthouse C 1 1 1 1 1 0 0 0 0 0 1 1 they will be off together in the 6th second To find when they all come on together, find the lowest common multiple of their time intervals 6, 8 and 10 LCM 6 6 12 18 24 30 36 42 48 54 60 66 72 78 84 90 96 102 108 114 120 126 132 LCM 8 8 16 24 32 40 48 56 64 72 80 96 104 112 120 128 136 144 LCM 10 10 20 30 40 50 60 70 80 90 100 110 120 130 140

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