Discrete math proof methods: Does $m\mid a\cdot b\cdot c$ imply $m\mid a$ or $m\mid b$ or $m\mid c$?

Question

I have some question in proof methods, it looks very easy to answer it but i don't know how to explain it.. The question is:

$a,b,c∈ℕ$, and $1 < m ∈\mathbb N$

if $m\mid a\cdot b\cdot c$ (P) prove or disprove that $m\mid a$ or $m\mid b$ or $m\mid c$ (Q)**

Which proof method should I use here? (direct, contrapositive, etc..)

Thanks...