Given numbers are 351,214,990,256,429

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

The LCM of 351,214,990,256,429 is 528802560.

Find LCM of 351,214,990,256,429 with Prime Factorization

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

2 x 3 x 3 x 11 x 13 x 3 x 107 x 5 x 128 x 1 = 528802560

Therefore, the lowest common multiple of 351,214,990,256,429 is 528802560.

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.

351 x 214 x 990 x 256 x 429 = 8166826736640

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

214 : 1, 2, 107, 214

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,214,990,256,429, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

214:2x 107

990:2x 3x 3x 5x 11

256:2x 2x 2x 2x 2x 2x 2x 2

429:3x 11x 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 3x 3x 3x 11x 13 = 15444

Therefore, the value for common factors is 15444.

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 = 8166826736640/(1x15444)

LCM = 8166826736640/15444

LCM = 528802560

Thus, we can understand that the LCM of 351,214,990,256,429 is 528802560.

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

• LCM of 404, 478, 616, 183, 449
• LCM of 297, 543, 478, 926, 961
• LCM of 813, 567, 262, 880, 409
• LCM of 162, 327, 917, 951, 369
• LCM of 257, 757, 842, 617, 377

1. What is the LCM of 351, 214, 990, 256, 429?

Answer: LCM of 351, 214, 990, 256, 429 is 528802560.

2. How to calculate the LCM of 351, 214, 990, 256, 429?

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 351, 214, 990, 256, 429.

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}.