LCM is the acronym that stands for least common multiple. The least common multiple of any kind of number is the smallest possible number that is the product of two or more numbers. The least common multiple can be calculated by utilisation of a very simple process and will always make sure that the least common multiple of two numbers will be the lowest possible number that can be divisible by both the numbers.
There is one more method to find out the LCM of two numbers which is the utilisation of prime factorisation in the whole process.
The least common multiple is also known as LCM in the world of mathematics and will be the multiple of two or more numbers which are the smallest number among all the common multiples of given numbers. For example, in the case of two and five there will be a unique set of multiples and further being clear about this particular example is important for kids so that there is no chance of any kind of mistake.
Hence, the smallest possible number among the multiples will be 10 which is the main reason that the Least common multiple of two and five will be 10.
How can you easily find the LCM (least common multiple)?
Some of the very basic methods associated with the finding of the least common multiple has been explained as follows:
- By listing out common multiples: This is considered to be the common method being used by the kids and further they need to list down all the common multiples by considering the numbers so that there is no problem. Then from this particular list, one can choose the least possible common multiple from both the numbers.
- By Using prime factorisation: In this particular method people can list down the prime factors in the whole process and representation of the numbers into the prime factor format will be carried out. After this, the LCM of the given two numbers is the product of the prime numbers so that there is no chance of any kind of issue in the whole process.
- By division method: In this particular case people will be dividing the numbers by the common prime number and these dividends are used in terms of calculating the LCM of those two numbers. First of all, people need to find out a factor of at least one of the given numbers and then they need to write this prime number on the left of the two numbers. For each number in the right column, people need to perform step one again so that question can be found and there will be no chance of any kind of problem. All these kinds of steps have to be continued until all the co-prime numbers are left in the last row and with the help of this particular better people can easily find the LCM without any kind of issue.
Apart from all the above-mentioned points people also need to be clear about the basic relationship of the least common multiple with the highest common factor of the given numbers and it can be easily calculated by multiplying the common prime factors of the given numbers.
Being clear about the basic differences between LCM and HCF is vital for kids to ensure that they never get confused at any point in time and further they are capable of dealing with things very successfully. Hence, registering on platforms like Cuemath is the best possible way of ensuring that everybody will be on the right track of dealing with the concept of factor, HCF, LCM, and associated properties very easily.
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