Least Common Multiple
Least Common Multiple
Least Common Multiple:
What are the common multiples of 4 and 6 ? They are 12, 24, 36,..... . Which is the lowest of these? It is 12. We say that lowest common multiple of 4 and 6 is 12. It is the smallest number that both the numbers are factors of this number.
The lowest Common Multiple (LCM) of two or more given numbers is the lowest ( or smallest or least ) of their common multiples.
Example: Find the LCM of 12 and 18.
Solution We know that common multiples of 12 and 18 are 36, 72, 108 etc.
The lowest of these is 36. Let us see another method to find LCM of two numbers.
The prime factorisations of 12 and 18 are:
In these prime factorisations, the maximum numbe of times the prime factor 2 occurs is two; this happens for 12. Similarly, the maximum number of times the factor 3 occurs is two; this happen for 18. The LCM of the two numbers is the product of the prime factors counted the maximum number of times they occur in any of the numbers. Thus, in this case LCM = .
What is the least numbers of choclates a teacher should have to equally distribute among 10, 15 or 20 students | |||
| Right Option : D | |||
| View Explanation | |||
What is the smallest common multiple of 6, 5 and 8? | |||
| Right Option : B | |||
| View Explanation | |||
Which of the following numbers is divisible by 3, 7, 9 and 11 ? | |||
| Right Option : B | |||
| View Explanation |
Students / Parents Reviews [10]
Abhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
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