Given numbers are 820,106,218,406

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

The LCM of 820,106,218,406 is 961639420.

Find LCM of 820,106,218,406 with Prime Factorization

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

2 x 410 x 53 x 109 x 203 = 961639420

Therefore, the lowest common multiple of 820,106,218,406 is 961639420.

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.

820 x 106 x 218 x 406 = 7693115360

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

106 : 1, 2, 53, 106

218 : 1, 2, 109, 218

406 : 1, 2, 7, 14, 29, 58, 203, 406

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,106,218,406, is 2.

Now, the common factors can be found like this.

820:2x 2x 5x 41

106:2x 53

218:2x 109

406:2x 7x 29

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 7693115360/(2x4)

LCM = 7693115360/8

LCM = 961639420

Thus, we can understand that the LCM of 820,106,218,406 is 961639420.

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

• LCM of 328, 508, 340, 491
• LCM of 259, 475, 947, 560
• LCM of 994, 400, 670, 177
• LCM of 294, 150, 371, 486
• LCM of 994, 708, 284, 226

1. What is the LCM of 820, 106, 218, 406?

Answer: LCM of 820, 106, 218, 406 is 961639420.

2. How to calculate the LCM of 820, 106, 218, 406?

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 820, 106, 218, 406.

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}.