Given numbers are 106,509,258,400

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

The LCM of 106,509,258,400 is 1392013200.

Find LCM of 106,509,258,400 with Prime Factorization

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

2 x 53 x 509 x 129 x 200 = 1392013200

Therefore, the lowest common multiple of 106,509,258,400 is 1392013200.

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.

106 x 509 x 258 x 400 = 5568052800

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.

106 : 1, 2, 53, 106

509 : 1, 509

258 : 1, 2, 3, 6, 43, 86, 129, 258

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,509,258,400, is 1.

Now, the common factors can be found like this.

106:2x 53

509:509

258:2x 3x 43

400:2x 2x 2x 2x 5x 5

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 = 5568052800/(1x4)

LCM = 5568052800/4

LCM = 1392013200

Thus, we can understand that the LCM of 106,509,258,400 is 1392013200.

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

• LCM of 150, 789, 224, 397
• LCM of 251, 538, 217, 474
• LCM of 321, 203, 290, 869
• LCM of 437, 704, 620, 147
• LCM of 809, 827, 268, 885

1. What is the LCM of 106, 509, 258, 400?

Answer: LCM of 106, 509, 258, 400 is 1392013200.

2. How to calculate the LCM of 106, 509, 258, 400?

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 106, 509, 258, 400.

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}.