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You have two strands of decorative lights. Strand A changes color every
18 seconds and Strand B changes color every 42 seconds. Both strands just changed color. After how many seconds will the strands change color at
the same time again?

Respuesta :

dannychen000

Answer:

Both strands will change color at 126 seconds.

Step-by-step explanation:

In this case, find the least common mutiple or LCM.

EXAMPLE OF LCM:

There are two integers a and b marked as LCM ( a, b ), the LCM is the smallest positive integer that can be divisible by both a and b.

So LCM(18,42) =

[tex]18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198 ...\\42, 84, 126, 168, 210, 252, 294 ...[/tex]

The LCM is 126, it is the least common multiple.

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