What are the torsion coefficients of $$\Bbb Z_{30}\oplus \Bbb Z_{18}\oplus\Bbb Z_{75}?$$
I know that $\mathbb{Z}_n \oplus \mathbb{Z}_m \cong \mathbb{Z}_{n\times m} $ iff $\gcd(n,m)=1$, I've tried to compute them, but I couldn't. I ask for help.
What are the torsion coefficients of $$\Bbb Z_{30}\oplus \Bbb Z_{18}\oplus\Bbb Z_{75}?$$
I know that $\mathbb{Z}_n \oplus \mathbb{Z}_m \cong \mathbb{Z}_{n\times m} $ iff $\gcd(n,m)=1$, I've tried to compute them, but I couldn't. I ask for help.
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Using only what you know, we have $$(30,18,75) \to (2,3,5,2,9,3,25) \to (3,30,450).$$.