if there are two payments a year, at the beginning of the year and at 6 months, plus one payment at the end of 21 months then at an annualised compound rate of 21.9% your money will double in 21 months.
(21-21)+(21-21)+21 = 0+0+21 = 21
The LCM is 21.
21
Oh, dude, you're really testing my math skills here. So, like, 21 quarters would make $5.25. It's like basic math, but hey, at least you're getting your money's worth with this answer, right?
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