Given numbers are 323,299,840,352,226

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

The LCM of 323,299,840,352,226 is 403351908960.

Find LCM of 323,299,840,352,226 with Prime Factorization

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

2 x 2 x 2 x 323 x 299 x 105 x 44 x 113 = 403351908960

Therefore, the lowest common multiple of 323,299,840,352,226 is 403351908960.

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.

323 x 299 x 840 x 352 x 226 = 6453630543360

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.

323 : 1, 17, 19, 323

299 : 1, 13, 23, 299

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

226 : 1, 2, 113, 226

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,299,840,352,226, is 1.

Now, the common factors can be found like this.

323:17x 19

299:13x 23

840:2x 2x 2x 3x 5x 7

352:2x 2x 2x 2x 2x 11

226:2x 113

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 2 = 16

Therefore, the value for common factors is 16.

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 = 6453630543360/(1x16)

LCM = 6453630543360/16

LCM = 403351908960

Thus, we can understand that the LCM of 323,299,840,352,226 is 403351908960.

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

• LCM of 149, 476, 745, 460, 738
• LCM of 230, 458, 744, 479, 464
• LCM of 372, 253, 181, 438, 665
• LCM of 669, 991, 635, 416, 267
• LCM of 655, 154, 507, 540, 852

1. What is the LCM of 323, 299, 840, 352, 226?

Answer: LCM of 323, 299, 840, 352, 226 is 403351908960.

2. How to calculate the LCM of 323, 299, 840, 352, 226?

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 323, 299, 840, 352, 226.

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}.