Given numbers are 338,299,364,466

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 338,299,364,466 is 25358788.

Find LCM of 338,299,364,466 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 13 x 13 x 23 x 14 x 233 = 25358788

Therefore, the lowest common multiple of 338,299,364,466 is 25358788.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

338 x 299 x 364 x 466 = 17142540688

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

338 : 1, 2, 13, 26, 169, 338

299 : 1, 13, 23, 299

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,299,364,466, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

299:13x 23

364:2x 2x 7x 13

466:2x 233

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 13x 13 = 676

Therefore, the value for common factors is 676.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 17142540688/(1x676)

LCM = 17142540688/676

LCM = 25358788

Thus, we can understand that the LCM of 338,299,364,466 is 25358788.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 782, 115, 306, 796
• LCM of 926, 634, 424, 644
• LCM of 562, 900, 406, 103
• LCM of 424, 981, 265, 396
• LCM of 443, 664, 330, 548

1. What is the LCM of 338, 299, 364, 466?

Answer: LCM of 338, 299, 364, 466 is 25358788.

2. How to calculate the LCM of 338, 299, 364, 466?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 338, 299, 364, 466.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.