Multi-component pharmaceutical compositions for preventing or treating autoimmune disease comprise a compound chosen from methylsulfonylmethane and dimethyl sulfoxide; vitamin B3, and a natural substance. Multi-component pharmaceutical compositions for preventing or treating cancer comprise a compound chosen from, and three substances chosen from methylsulfonylmethane, dimethyl sulfoxide, selenium, zinc, garlic, ginseng, probiotics, astralagus, echinacea, olive leaf, ashwagandha, rutin, vitamin A, vitamin B3 vitamin C, vitamin E, folic acid, vitamin B6, vitamin B12, phenols, flavones, phytosterols, curcumin, blueberry, lipoic acid, resveratrol, green tea, vitamin D, docosahexanoic acid (DHA), eicosapentaenoic acid (EPA), pomegranate, quercetin, cocoa, catechins, flavonoids, and flavonols. Multi-component pharmaceutical compositions for preventing or treating thrombosis comprise a compound chosen from methylsulfonylmethane and dimethyl sulfoxide; rutin; and one of docosahexanoic acid (DHA), eicosapentaenoic acid (EPA), and a flavonoid other than rutin. Multi-component pharmaceutical compositions for improving the health and beauty of skin, including lips, hair, or nails comprise a compound chosen from methylsulfonylmethane and dimethyl sulfoxide; a second component chosen from fructose diphosphate and trehalose; and colla corii asini. Methods of treating, preventing, and mitigating various disorders also appear.