Please provide numbers be separated by a comma "," and also click the "Calculate" button to uncover the LCM.

You are watching: Lcm of 2 3 and 6

 330, 75, 450, 225

RelatedGCF dearteassociazione.org | factor dearteassociazione.org

### What is the Least common Multiple (LCM)?

In mathematics, the least usual multiple, additionally known as the lowest typical multiple of two (or more) integers a and b, is the smallest optimistic integer that is divisible through both. It is commonly denoted as LCM(a, b).

### Brute pressure Method

There space multiple methods to find a least common multiple. The most basic is just using a "brute force" an approach that lists the end each integer"s multiples.

 EX: Find LCM(18, 26)18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 23426: 52, 78, 104, 130, 156, 182, 208, 234

As deserve to be seen, this an approach can be fairly tedious, and is far from ideal.

See more: What Does Cttw Mean For Diamonds, What Does The Total Weight (Tw) Of A Diamond Mean

A more systematic means to discover the LCM of some provided integers is to use prime factorization. Element factorization requires breaking under each of the numbers being contrasted into that product of prime numbers. The LCM is then figured out by multiplying the highest possible power of each prime number together. Keep in mind that computer the LCM this way, while much more efficient than utilizing the "brute force" method, is still minimal to smaller sized numbers. Refer to the example listed below for clarify on exactly how to usage prime administer to identify the LCM:

 EX: Find LCM(21, 14, 38)21 = 3 × 714 = 2 × 738 = 2 × 19The LCM is therefore:3 × 7 × 2 × 19 = 798

### Greatest usual Divisor Method

A 3rd viable technique for detect the LCM the some provided integers is making use of the greatest typical divisor. This is additionally frequently referred to as the greatest typical factor (GCF), amongst other names. Describe the link for details on just how to recognize the greatest usual divisor. Given LCM(a, b), the procedure for finding the LCM utilizing GCF is to division the product the the numbers a and b by your GCF, i.e. (a × b)/GCF(a,b). When trying to recognize the LCM of more than two numbers, for example LCM(a, b, c) uncover the LCM that a and also b where the result will it is in q. Then uncover the LCM the c and q. The result will it is in the LCM the all 3 numbers. Using the previous example:

 EX: Find LCM(21, 14, 38)GCF(14, 38) = 2LCM(14, 38) = 38 × 14 2
= 266GCF(266, 21) = 7
 LCM(266, 21) = 266 × 21 7
= 798LCM(21, 14, 38) = 798

Note the it is not vital which LCM is calculated very first as long as all the numbers room used, and the technique is adhered to accurately. Relying on the certain situation, each technique has its own merits, and also the user have the right to decide which method to pursue at their very own discretion.