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 LCM of two prime numbers? | |||
| Right Option : B | |||
| View Explanation |
What is the smallest common multiple of 6, 5 and 8? | |||
| Right Option : B | |||
| View Explanation | |||
Four bells ring at intervals of 6, 7, 8 and 9 seconds respectively. All the bells ring together after ________________ seconds. | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [20]
My experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
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Archit Segal
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Ayan Ghosh
8thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
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