Given numbers are 330,432,818,528,857

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

The LCM of 330,432,818,528,857 is 8328188880.

Find LCM of 330,432,818,528,857 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 5 x 9 x 409 x 1 x 857 = 8328188880

Therefore, the lowest common multiple of 330,432,818,528,857 is 8328188880.

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 432 x 818 x 528 x 857 = 52767404743680

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

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

818 : 1, 2, 409, 818

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,432,818,528,857, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

432:2x 2x 2x 2x 3x 3x 3

818:2x 409

528:2x 2x 2x 2x 3x 11

857:857

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 2x 2x 3x 3x 11 = 6336

Therefore, the value for common factors is 6336.

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 = 52767404743680/(1x6336)

LCM = 52767404743680/6336

LCM = 8328188880

Thus, we can understand that the LCM of 330,432,818,528,857 is 8328188880.

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

• LCM of 141, 241, 201, 499, 409
• LCM of 686, 216, 171, 473, 643
• LCM of 391, 323, 398, 688, 220
• LCM of 582, 500, 343, 457, 647
• LCM of 610, 475, 887, 976, 624

1. What is the LCM of 330, 432, 818, 528, 857?

Answer: LCM of 330, 432, 818, 528, 857 is 8328188880.

2. How to calculate the LCM of 330, 432, 818, 528, 857?

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, 432, 818, 528, 857.

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}.