LCM and HCF — Detailed Notes

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LCM and HCF form the backbone of arithmetic in the RRB NTPC Mathematics syllabus. These concepts test your understanding of factors, multiples, divisibility, prime factorization, and their applications in word problems. Questions on HCF and LCM appear regularly, often combined with fractions, decimals, and real-life scenarios like distributing items equally or finding when events coincide. This chapter begins with the basics of factors, multiples, and divisibility rules, then moves to prime and composite numbers and prime factorization. You will learn the concept and methods for finding HCF and LCM, including the division method and prime factorization method. The relationship between HCF and LCM is explained, followed by HCF and LCM of fractions and decimals. Special cases and word problems are covered to help you apply these concepts. Shortcut techniques and speed methods are included to save time in the exam. Common exam traps and mistakes are highlighted so you can avoid them. Finally, practice problems and previous year questions give you hands-on experience. To study this chapter effectively, first master the definitions and methods, then practice a variety of problems, and finally focus on shortcuts and trap avoidance. Regular revision of formulas and properties will build speed and accuracy. Remember that while the syllabus is standard, always verify exam-specific details against the latest official notification.

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