Given numbers are 353,864,684,198

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

The LCM of 353,864,684,198 is 63743328.

Find LCM of 353,864,684,198 with Prime Factorization

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

2 x 2 x 3 x 3 x 353 x 24 x 19 x 11 = 63743328

Therefore, the lowest common multiple of 353,864,684,198 is 63743328.

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.

353 x 864 x 684 x 198 = 41305676544

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.

353 : 1, 353

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

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,864,684,198, is 1.

Now, the common factors can be found like this.

353:353

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

684:2x 2x 3x 3x 19

198:2x 3x 3x 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 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 41305676544/(1x648)

LCM = 41305676544/648

LCM = 63743328

Thus, we can understand that the LCM of 353,864,684,198 is 63743328.

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

• LCM of 856, 103, 438, 792
• LCM of 604, 250, 634, 820
• LCM of 118, 607, 900, 526
• LCM of 739, 208, 378, 942
• LCM of 610, 709, 308, 124

1. What is the LCM of 353, 864, 684, 198?

Answer: LCM of 353, 864, 684, 198 is 63743328.

2. How to calculate the LCM of 353, 864, 684, 198?

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 353, 864, 684, 198.

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}.