Given numbers are 424,864,260,814

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

The LCM of 424,864,260,814 is 1211427360.

Find LCM of 424,864,260,814 with Prime Factorization

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

2 x 2 x 2 x 53 x 108 x 65 x 407 = 1211427360

Therefore, the lowest common multiple of 424,864,260,814 is 1211427360.

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.

424 x 864 x 260 x 814 = 77531351040

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

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

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

814 : 1, 2, 11, 22, 37, 74, 407, 814

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,864,260,814, is 2.

Now, the common factors can be found like this.

424:2x 2x 2x 53

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

260:2x 2x 5x 13

814:2x 11x 37

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 2 = 32

Therefore, the value for common factors is 32.

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 = 77531351040/(2x32)

LCM = 77531351040/64

LCM = 1211427360

Thus, we can understand that the LCM of 424,864,260,814 is 1211427360.

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

• LCM of 700, 142, 874, 100
• LCM of 558, 753, 892, 852
• LCM of 954, 116, 950, 621
• LCM of 175, 486, 460, 713
• LCM of 179, 353, 540, 997

1. What is the LCM of 424, 864, 260, 814?

Answer: LCM of 424, 864, 260, 814 is 1211427360.

2. How to calculate the LCM of 424, 864, 260, 814?

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 424, 864, 260, 814.

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}.