Given numbers are 898,828,432,336

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

The LCM of 898,828,432,336 is 31228848.

Find LCM of 898,828,432,336 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 449 x 23 x 3 x 7 = 31228848

Therefore, the lowest common multiple of 898,828,432,336 is 31228848.

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.

898 x 828 x 432 x 336 = 107926898688

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.

898 : 1, 2, 449, 898

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,828,432,336, is 2.

Now, the common factors can be found like this.

898:2x 449

828:2x 2x 3x 3x 23

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

336:2x 2x 2x 2x 3x 7

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 3 = 1728

Therefore, the value for common factors is 1728.

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 = 107926898688/(2x1728)

LCM = 107926898688/3456

LCM = 31228848

Thus, we can understand that the LCM of 898,828,432,336 is 31228848.

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

• LCM of 798, 466, 215, 909
• LCM of 323, 460, 645, 992
• LCM of 501, 659, 606, 433
• LCM of 532, 834, 863, 610
• LCM of 805, 760, 946, 182

1. What is the LCM of 898, 828, 432, 336?

Answer: LCM of 898, 828, 432, 336 is 31228848.

2. How to calculate the LCM of 898, 828, 432, 336?

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 898, 828, 432, 336.

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}.