Given numbers are 420,566,864,671,330

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

The LCM of 420,566,864,671,330 is 5742364320.

Find LCM of 420,566,864,671,330 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 7 x 283 x 72 x 61 x 1 = 5742364320

Therefore, the lowest common multiple of 420,566,864,671,330 is 5742364320.

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.

420 x 566 x 864 x 671 x 330 = 45479525414400

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

566 : 1, 2, 283, 566

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

671 : 1, 11, 61, 671

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,566,864,671,330, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

566:2x 283

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

671:11x 61

330:2x 3x 5x 11

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 2x 3x 3x 5x 11 = 7920

Therefore, the value for common factors is 7920.

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 = 45479525414400/(1x7920)

LCM = 45479525414400/7920

LCM = 5742364320

Thus, we can understand that the LCM of 420,566,864,671,330 is 5742364320.

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

• LCM of 486, 430, 116, 573, 280
• LCM of 215, 519, 395, 761, 831
• LCM of 635, 807, 987, 741, 636
• LCM of 231, 235, 146, 485, 351
• LCM of 147, 718, 554, 123, 132

1. What is the LCM of 420, 566, 864, 671, 330?

Answer: LCM of 420, 566, 864, 671, 330 is 5742364320.

2. How to calculate the LCM of 420, 566, 864, 671, 330?

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 420, 566, 864, 671, 330.

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}.