Given numbers are 106,386,468,973,930

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

The LCM of 106,386,468,973,930 is 721977345180.

Find LCM of 106,386,468,973,930 with Prime Factorization

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

2 x 3 x 53 x 193 x 78 x 973 x 155 = 721977345180

Therefore, the lowest common multiple of 106,386,468,973,930 is 721977345180.

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 386 x 468 x 973 x 930 = 17327456284320

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

386 : 1, 2, 193, 386

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

973 : 1, 7, 139, 973

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,386,468,973,930, is 1.

Now, the common factors can be found like this.

106:2x 53

386:2x 193

468:2x 2x 3x 3x 13

973:7x 139

930:2x 3x 5x 31

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 3 = 24

Therefore, the value for common factors is 24.

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 = 17327456284320/(1x24)

LCM = 17327456284320/24

LCM = 721977345180

Thus, we can understand that the LCM of 106,386,468,973,930 is 721977345180.

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

• LCM of 369, 999, 688, 156, 960
• LCM of 460, 970, 626, 400, 427
• LCM of 514, 365, 433, 303, 170
• LCM of 542, 287, 977, 418, 723
• LCM of 689, 412, 330, 333, 267

1. What is the LCM of 106, 386, 468, 973, 930?

Answer: LCM of 106, 386, 468, 973, 930 is 721977345180.

2. How to calculate the LCM of 106, 386, 468, 973, 930?

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, 386, 468, 973, 930.

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}.