Given numbers are 106,323,464,114

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

The LCM of 106,323,464,114 is 23829648.

Find LCM of 106,323,464,114 with Prime Factorization

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

2 x 19 x 53 x 17 x 232 x 3 = 23829648

Therefore, the lowest common multiple of 106,323,464,114 is 23829648.

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 323 x 464 x 114 = 1811053248

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

323 : 1, 17, 19, 323

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,323,464,114, is 1.

Now, the common factors can be found like this.

106:2x 53

323:17x 19

464:2x 2x 2x 2x 29

114:2x 3x 19

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 19 = 76

Therefore, the value for common factors is 76.

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 = 1811053248/(1x76)

LCM = 1811053248/76

LCM = 23829648

Thus, we can understand that the LCM of 106,323,464,114 is 23829648.

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

• LCM of 983, 635, 247, 537
• LCM of 331, 683, 310, 404
• LCM of 305, 393, 484, 399
• LCM of 171, 296, 879, 435
• LCM of 687, 311, 423, 180

1. What is the LCM of 106, 323, 464, 114?

Answer: LCM of 106, 323, 464, 114 is 23829648.

2. How to calculate the LCM of 106, 323, 464, 114?

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, 323, 464, 114.

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}.