Given numbers are 106,242,729,204

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

The LCM of 106,242,729,204 is 317905236.

Find LCM of 106,242,729,204 with Prime Factorization

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

2 x 3 x 53 x 121 x 243 x 34 = 317905236

Therefore, the lowest common multiple of 106,242,729,204 is 317905236.

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 242 x 729 x 204 = 3814862832

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

242 : 1, 2, 11, 22, 121, 242

729 : 1, 3, 9, 27, 81, 243, 729

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,242,729,204, is 1.

Now, the common factors can be found like this.

106:2x 53

242:2x 11x 11

729:3x 3x 3x 3x 3x 3

204:2x 2x 3x 17

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 3 = 12

Therefore, the value for common factors is 12.

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 = 3814862832/(1x12)

LCM = 3814862832/12

LCM = 317905236

Thus, we can understand that the LCM of 106,242,729,204 is 317905236.

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

• LCM of 400, 874, 922, 280
• LCM of 312, 527, 333, 914
• LCM of 732, 210, 225, 823
• LCM of 603, 740, 773, 118
• LCM of 355, 322, 284, 488

1. What is the LCM of 106, 242, 729, 204?

Answer: LCM of 106, 242, 729, 204 is 317905236.

2. How to calculate the LCM of 106, 242, 729, 204?

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, 242, 729, 204.

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}.