Given numbers are 648,928,288,207

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

The LCM of 648,928,288,207 is 1728864.

Find LCM of 648,928,288,207 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 3 x 9 x 29 x 1 x 23 = 1728864

Therefore, the lowest common multiple of 648,928,288,207 is 1728864.

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.

648 x 928 x 288 x 207 = 35849723904

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.

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

207 : 1, 3, 9, 23, 69, 207

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,928,288,207, is 1.

Now, the common factors can be found like this.

648:2x 2x 2x 3x 3x 3x 3

928:2x 2x 2x 2x 2x 29

288:2x 2x 2x 2x 2x 3x 3

207:3x 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 2x 2x 3x 3x 3x 3 = 20736

Therefore, the value for common factors is 20736.

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 = 35849723904/(1x20736)

LCM = 35849723904/20736

LCM = 1728864

Thus, we can understand that the LCM of 648,928,288,207 is 1728864.

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

• LCM of 459, 333, 499, 398
• LCM of 792, 446, 472, 859
• LCM of 950, 100, 209, 720
• LCM of 865, 170, 466, 905
• LCM of 865, 517, 462, 608

1. What is the LCM of 648, 928, 288, 207?

Answer: LCM of 648, 928, 288, 207 is 1728864.

2. How to calculate the LCM of 648, 928, 288, 207?

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 648, 928, 288, 207.

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}.