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Prime factorisation of 12, 16, 20 and 24.
12 = $$2^2\times\ 3$$
16 = $$2^4$$
20 = $$2^2\times\ 5$$
24 = $$2^3\times3$$
L.C.M = $$2^4\times\ 3\times\ 5=240$$.
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