Given numbers are 729,933,219,408

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

The LCM of 729,933,219,408 is 2250866232.

Find LCM of 729,933,219,408 with Prime Factorization

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

3 x 243 x 311 x 73 x 136 = 2250866232

Therefore, the lowest common multiple of 729,933,219,408 is 2250866232.

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.

729 x 933 x 219 x 408 = 60773388264

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.

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

933 : 1, 3, 311, 933

219 : 1, 3, 73, 219

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,933,219,408, is 3.

Now, the common factors can be found like this.

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

933:3x 311

219:3x 73

408:2x 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.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 60773388264/(3x9)

LCM = 60773388264/27

LCM = 2250866232

Thus, we can understand that the LCM of 729,933,219,408 is 2250866232.

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

• LCM of 533, 638, 737, 911
• LCM of 476, 293, 597, 825
• LCM of 522, 724, 247, 200
• LCM of 131, 934, 727, 711
• LCM of 407, 777, 697, 338

1. What is the LCM of 729, 933, 219, 408?

Answer: LCM of 729, 933, 219, 408 is 2250866232.

2. How to calculate the LCM of 729, 933, 219, 408?

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 729, 933, 219, 408.

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}.