📚 Study NotesSSC MTSNumerical and Mathematical Ability · LCM and HCF📁 Numerical and Mathematical Ability🕒 Updated 21 Oct 2026
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LCM and HCF — Detailed Notes

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LCM (Least Common Multiple) and HCF (Highest Common Factor) are fundamental concepts in number theory that frequently appear in the SSC MTS Numerical and Mathematical Ability section. These topics test your understanding of factors, multiples, and the relationships between numbers. Mastery of HCF and LCM is essential not only for direct questions but also for solving problems in fractions, ratios, and time-speed-distance. This chapter begins with the foundations: factors, multiples, and the meaning of HCF and LCM. It then covers prime factorization as a tool for finding HCF and LCM, the Euclidean division method for HCF, and the relationship between HCF and LCM. You will learn methods to find LCM by listing multiples and by division, and how to handle HCF and LCM of fractions, decimals, and mixed numbers. Special cases such as co-prime numbers, perfect squares, and consecutive integers are discussed. The chapter also includes word problems, remainder-based and algebraic problems, and concludes with exam traps, shortcuts, and quick revision tips. To study effectively, focus on understanding the concepts, practice a variety of problems, and memorize key shortcuts. Regular practice will help you solve这些问题 quickly and accurately in the exam.

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