Given numbers are 864,900,232,214,414

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

The LCM of 864,900,232,214,414 is 1541570400.

Find LCM of 864,900,232,214,414 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 12 x 25 x 29 x 107 x 23 = 1541570400

Therefore, the lowest common multiple of 864,900,232,214,414 is 1541570400.

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.

864 x 900 x 232 x 214 x 414 = 15983001907200

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.

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

232 : 1, 2, 4, 8, 29, 58, 116, 232

214 : 1, 2, 107, 214

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,900,232,214,414, is 2.

Now, the common factors can be found like this.

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

900:2x 2x 3x 3x 5x 5

232:2x 2x 2x 29

214:2x 107

414:2x 3x 3x 23

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 3x 3 = 5184

Therefore, the value for common factors is 5184.

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 = 15983001907200/(2x5184)

LCM = 15983001907200/10368

LCM = 1541570400

Thus, we can understand that the LCM of 864,900,232,214,414 is 1541570400.

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

• LCM of 825, 440, 112, 353, 858
• LCM of 278, 560, 621, 717, 919
• LCM of 385, 890, 131, 717, 543
• LCM of 798, 501, 486, 652, 235
• LCM of 660, 828, 885, 886, 215

1. What is the LCM of 864, 900, 232, 214, 414?

Answer: LCM of 864, 900, 232, 214, 414 is 1541570400.

2. How to calculate the LCM of 864, 900, 232, 214, 414?

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 864, 900, 232, 214, 414.

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}.