Given numbers are 299,864,412,338

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

The LCM of 299,864,412,338 is 345911904.

Find LCM of 299,864,412,338 with Prime Factorization

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

2 x 2 x 13 x 23 x 216 x 103 x 13 = 345911904

Therefore, the lowest common multiple of 299,864,412,338 is 345911904.

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.

299 x 864 x 412 x 338 = 35974838016

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.

299 : 1, 13, 23, 299

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

412 : 1, 2, 4, 103, 206, 412

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,864,412,338, is 1.

Now, the common factors can be found like this.

299:13x 23

864:2x 2x 2x 2x 2x 3x 3x 3

412:2x 2x 103

338:2x 13x 13

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 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 35974838016/(1x104)

LCM = 35974838016/104

LCM = 345911904

Thus, we can understand that the LCM of 299,864,412,338 is 345911904.

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

• LCM of 956, 316, 696, 133
• LCM of 238, 171, 431, 143
• LCM of 282, 226, 355, 455
• LCM of 801, 258, 858, 598
• LCM of 431, 368, 522, 924

1. What is the LCM of 299, 864, 412, 338?

Answer: LCM of 299, 864, 412, 338 is 345911904.

2. How to calculate the LCM of 299, 864, 412, 338?

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 299, 864, 412, 338.

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}.