Given numbers are 576,919,270,730,920

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

The LCM of 576,919,270,730,920 is 13331528640.

Find LCM of 576,919,270,730,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 8 x 919 x 3 x 73 x 23 = 13331528640

Therefore, the lowest common multiple of 576,919,270,730,920 is 13331528640.

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.

576 x 919 x 270 x 730 x 920 = 95987006208000

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

919 : 1, 919

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

730 : 1, 2, 5, 10, 73, 146, 365, 730

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,919,270,730,920, is 1.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

919:919

270:2x 3x 3x 3x 5

730:2x 5x 73

920:2x 2x 2x 5x 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 3x 3x 5x 5 = 7200

Therefore, the value for common factors is 7200.

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 = 95987006208000/(1x7200)

LCM = 95987006208000/7200

LCM = 13331528640

Thus, we can understand that the LCM of 576,919,270,730,920 is 13331528640.

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

• LCM of 780, 856, 753, 619, 277
• LCM of 318, 146, 551, 818, 838
• LCM of 385, 590, 358, 120, 302
• LCM of 694, 257, 907, 622, 205
• LCM of 681, 518, 168, 257, 810

1. What is the LCM of 576, 919, 270, 730, 920?

Answer: LCM of 576, 919, 270, 730, 920 is 13331528640.

2. How to calculate the LCM of 576, 919, 270, 730, 920?

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 576, 919, 270, 730, 920.

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}.