In word problems, LCM is for events repeating in cycles—like my grandmother taking her arthritis medicine every 8 hours and her vitamins every 12—while HCF is for splitting things into equal groups, like dividing my uncle’s stock of painkiller strips among the most village kits. Honestly, the coaching class trick of looking for keywords “smallest” or “least” for LCM and “greatest” or “maximum” for HCF often fails with our local exam papers; I learned more from practically arranging those medicine strips in the shop’s back room than from any textbook rule.
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