Given numbers are 330,810,312,229

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

The LCM of 330,810,312,229 is 106100280.

Find LCM of 330,810,312,229 with Prime Factorization

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

2 x 3 x 5 x 11 x 27 x 52 x 229 = 106100280

Therefore, the lowest common multiple of 330,810,312,229 is 106100280.

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.

330 x 810 x 312 x 229 = 19098050400

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.

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

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

229 : 1, 229

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,810,312,229, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

810:2x 3x 3x 3x 3x 5

312:2x 2x 2x 3x 13

229:229

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 19098050400/(1x180)

LCM = 19098050400/180

LCM = 106100280

Thus, we can understand that the LCM of 330,810,312,229 is 106100280.

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

• LCM of 514, 359, 381, 749
• LCM of 381, 309, 650, 855
• LCM of 540, 618, 895, 191
• LCM of 393, 517, 507, 130
• LCM of 679, 150, 600, 924

1. What is the LCM of 330, 810, 312, 229?

Answer: LCM of 330, 810, 312, 229 is 106100280.

2. How to calculate the LCM of 330, 810, 312, 229?

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 330, 810, 312, 229.

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}.