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How many seconds will go by until the 3 strands blink at the same time?

Sahale decorated his house with 3 strands of holiday.The red Strand blinks every 4 seconds, the green strands blinks every 6 seconds and the white strands blink every 10 seconds. How many seconds will go by until the 3 strands blink at the same time?

Calculate the least common multiple of the times of the three strands:

Red strand = 4 seconds (= 2 * 2)
Green Strand = 6 seconds (= 2 * 3)
White strand = 10 seconds (= 2 * 5)

The least common multiple is 2 * 2 * 3 * 5 = 60 seconds. So all strands will blink together at the 60th second.

Second 4 = Red
Second 6 = Green
Second 8 = Red
Second 10 = White
Second 12 = Red and Green
Second 16 = Red
Second 18 = Green
Second 20 = Red
Second 24 = Red and Green
Second 28 = Red
Second 30 = White and Green
Second 32 = Red
Second 36 = Red and Green
Second 40 = Red and White
Second 42 = Green
Second 44 = Red
Second 48 = Red and Green
Second 50 = White
Second 52 = Red
Second 54 = Green
Second 56 = Red
Second 60 = Red and Green and White

Michael Head & The Strands – Green Velvet Jacket

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