LCM Full Form – What Is LCM, Definition, Meaning, Uses

LCM Full Form Friends, in this article, we’ll look at the full form of the LCM. When candidates are admitted to a school, they are given specific topics to study there, which are highly significant. There is also a subject of Mathematics in these subjects, which the applicants must work hard to read and understand, after which the candidates will be able to understand the subject because they will have to solve questions. Some of these questions need the candidates to devote extra time to their answers. Similarly, in the topic of mathematics, there are questions like LCM and HCF, which might be difficult to comprehend at times.

LCM Full Form 

The Least Common Multiple is the full form of LCM. Lowest Common Multiple (LCM) and Least Common Divisor are other names for Least Common Multiple (LCM) (LCD). The smallest integer by which all the numbers a, b, c… are divisible is the LCM of two or more numbers (say, a, b, c……). In other terms, LCM is the smallest number with the elements a, b, and c If you take the numbers 3 and 5, for example, the LCM of 3 and 5 is 15, which is the least number by which 3 and 5 are divided.

LCM: Least Common Multiple

LCM Full Form 
LCM Full Form

What exactly is LCM?

LCM is the smallest number that is entirely divisible when divided by any other number. For instance, the LCM of 4, 6, and 9 is 36. The number 36, which is made up of the numbers 4, 9, and 6, is divisible by all three numbers.

HCF in its entirety

HCF stands for Highest Common Factor in its entire form. The highest number by which a, b, c… is divisible, or the highest number that is a factor of a, b, c… The HCF of two or more numbers (such as a, b, c…) is the highest number that is a factor of a, b, c… Let’s use 3 and 5 as an example once more. The integer by which both 3 and 5 are divisible will be the HCF of 3 and 5. Here’s number one:

What exactly is HCF?

  • HCF is a huge number that is divisible by when split by a specific number. These numbers are referred to as HCF numbers.
  • For example, the HCF of 9, 12, and 18 is 3 since dividing all of these integers by 3 makes them divisible.

LCM and HCF Detection Methods

The following are the three basic approaches for determining LCM and HCF:

  • by using the division method
  • method of prime factorization
  • Method of Factors and Multiples

The following is a method for determining the LCM

  • You must first add the given numbers together to determine the LCM using the division method.
  • Then you divide it by the prime number with the smallest value.
  • Then, below the given number, write the quotient that will be obtained.
  • A minimum of two numbers must be divided.
  • The following number will not be divisible. In the same way, write that number underneath the specified number.
  • The method must then be repeated with the obtained quotient until all of the quotient and prime numbers have been achieved.
  • Finally, add together all of the quotient and co-prime numbers.
  • Our LCM will be the number received after this (Least Common Factor).

HCF is calculated using the following method

  • To find HCF using the division method, first add the integers in decreasing order.
  • The smallest number is then divided by any specified number.
  • Then you’ll be successful.
  • After that, divide the profit by the provided dividend and repeat the process.
  • Until then, the process will be repeated. until the last successful 0 has been reached
  • Our final dividend will be C.F. after that.

To find L.C.M use the prime factorization method

  • Find the prime factorization of the given numbers first.
  • After that, bold any number that looks to be common in both numbers.
  • After that, remove the bold numbers.
  • After that, you should write whatever is left in both numbers in the form of Multiply.
  • Then double whatever amount you’ve come up with amongst yourselves.
  • The first LCM will be the number obtained after this.

To find H.C.F., use the Prime Factorization Method

  • To begin, write the given numbers in terms of their prime factors.
  • After that, whichever number is the same in all of these will be used. You make it stand out.
  • Then you multiply that number by itself.
  • After that, multiply all of the numbers that have been taken out by themselves.
  • The resultant number is known as Abhisit C.F.

Read Now:

Leave a Comment