Prime Time | Class 6 Mathematics Notes

Least Common Multiple (LCM)

This section introduces the Least Common Multiple (LCM), which is the smallest number that is a multiple of two or more numbers. LCM is important in adding and subtracting fractions, scheduling events, and solving problems involving synchronization. The section explains methods to find LCM including listing multiples, prime factorization, and using the relationship between HCF and LCM. Using prime factorization, the LCM is found by multiplying all prime factors with the highest powers present in the numbers. For example, to find the LCM of 12 and 15, prime factorize: 12 = 2² × 3, 15 = 3 × 5; LCM = 2² × 3 × 5 = 60. The section provides examples and emphasizes the practical use of LCM in daily life such as finding common time intervals for events.

📊 Diagram: Table on page 7 (9×10) is used to identify multiples and understand LCM calculation.

🧪 Activity: Students find LCM of given numbers using prime factorization and listing multiples.

🔗 Connection: This section leads to 'Relationship Between HCF and LCM,' explaining their mathematical connection.

Table on page 7 (9×10)