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Param Publication
- Books Name
- CBSE Class 6 Mathematics Book
- Publication
- Param Publication
- Course
- CBSE Class 6
- Subject
- Mathmatics
Lowest Common Multiple
The Lowest Common Multiple (LCM) of two or more given numbers is the lowest (or smallest or least) of their common multiples.
Ex.: Find the LCM of 24 and 90.
Sol.: The prime factorisations of 24 and 90 are:
24 = 2 × 2 × 2 × 3; 90 = 2 × 3 × 3 × 5
In these prime factorisations the maximum number of times the prime factor 2 occurs is three; this happens for 24. Similarly, the maximum number of times the prime factor 3 occurs is two; this happens for 90. The prime factor 5 occurs only once in 90.
Thus, LCM = (2 × 2 × 2) × (3 × 3) × 5 = 360
