Given numbers are 814,426,725,867

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

The LCM of 814,426,725,867 is 36327863550.

Find LCM of 814,426,725,867 with Prime Factorization

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

2 x 3 x 407 x 71 x 725 x 289 = 36327863550

Therefore, the lowest common multiple of 814,426,725,867 is 36327863550.

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.

814 x 426 x 725 x 867 = 217967181300

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.

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

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

725 : 1, 5, 25, 29, 145, 725

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,426,725,867, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

426:2x 3x 71

725:5x 5x 29

867:3x 17x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 217967181300/(1x6)

LCM = 217967181300/6

LCM = 36327863550

Thus, we can understand that the LCM of 814,426,725,867 is 36327863550.

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

• LCM of 778, 373, 319, 378
• LCM of 445, 280, 411, 870
• LCM of 979, 705, 272, 244
• LCM of 457, 442, 400, 841
• LCM of 990, 179, 761, 154

1. What is the LCM of 814, 426, 725, 867?

Answer: LCM of 814, 426, 725, 867 is 36327863550.

2. How to calculate the LCM of 814, 426, 725, 867?

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 814, 426, 725, 867.

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}.