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Least Common Multiple
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48x^{6}+144x^{5}-36x^{3}-24x^{2}+42xy^{2}+57xyz-68xy-9xz^{2}-10xz-56y^{2}x^{4}-168y^{2}x^{3}+28y^{2}+136yx^{5}+408yx^{4}-102yx^{2}-76yzx^{4}-228yzx^{3}+38yz+12z^{2}x^{4}+36z^{2}x^{3}-6z^{2}+20zx^{5}+60zx^{4}-15zx^{2}
Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.