Given numbers are 426,222,564,810,831

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

The LCM of 426,222,564,810,831 is 55405479060.

Find LCM of 426,222,564,810,831 with Prime Factorization

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

2 x 3 x 71 x 37 x 94 x 135 x 277 = 55405479060

Therefore, the lowest common multiple of 426,222,564,810,831 is 55405479060.

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.

426 x 222 x 564 x 810 x 831 = 35902750430880

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

222 : 1, 2, 3, 6, 37, 74, 111, 222

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

831 : 1, 3, 277, 831

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,222,564,810,831, is 3.

Now, the common factors can be found like this.

426:2x 3x 71

222:2x 3x 37

564:2x 2x 3x 47

810:2x 3x 3x 3x 3x 5

831:3x 277

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 35902750430880/(3x216)

LCM = 35902750430880/648

LCM = 55405479060

Thus, we can understand that the LCM of 426,222,564,810,831 is 55405479060.

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

• LCM of 154, 160, 431, 129, 240
• LCM of 840, 632, 144, 405, 780
• LCM of 832, 789, 523, 473, 160
• LCM of 675, 489, 394, 393, 296
• LCM of 405, 693, 747, 834, 788

1. What is the LCM of 426, 222, 564, 810, 831?

Answer: LCM of 426, 222, 564, 810, 831 is 55405479060.

2. How to calculate the LCM of 426, 222, 564, 810, 831?

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 426, 222, 564, 810, 831.

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}.