But 18n = 90 → n = 5 → 90° → multiple of 90 → invalid.
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- LCM(18,45) = (18×45)/gcd(18,45) = 810 / 9 = 90.
- So the only positions that are multiples of both 18 and 45 are multiples of 90°.
- Thus, no non-zero multiple of 18° that is also a multiple of 45° is not divisible by 90? No — LCM is 90, so smallest common multiple is 90°.
- Next: 180 → n=10 → invalid.
- → n=15 → invalid.
- → n=20 → invalid.
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