Given numbers are 106,104,526,728

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

The LCM of 106,104,526,728 is 10147592.

Find LCM of 106,104,526,728 with Prime Factorization

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

2 x 2 x 2 x 13 x 53 x 1 x 263 x 7 = 10147592

Therefore, the lowest common multiple of 106,104,526,728 is 10147592.

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 104 x 526 x 728 = 4221398272

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

526 : 1, 2, 263, 526

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,104,526,728, is 2.

Now, the common factors can be found like this.

106:2x 53

104:2x 2x 2x 13

526:2x 263

728:2x 2x 2x 7x 13

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 13 = 208

Therefore, the value for common factors is 208.

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 = 4221398272/(2x208)

LCM = 4221398272/416

LCM = 10147592

Thus, we can understand that the LCM of 106,104,526,728 is 10147592.

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

• LCM of 573, 709, 128, 320
• LCM of 647, 525, 102, 462
• LCM of 361, 415, 940, 318
• LCM of 765, 595, 653, 646
• LCM of 819, 869, 755, 651

1. What is the LCM of 106, 104, 526, 728?

Answer: LCM of 106, 104, 526, 728 is 10147592.

2. How to calculate the LCM of 106, 104, 526, 728?

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, 104, 526, 728.

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}.