Given numbers are 729,408,228,593,364

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

The LCM of 729,408,228,593,364 is 101652045768.

Find LCM of 729,408,228,593,364 with Prime Factorization

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

2 x 2 x 3 x 243 x 34 x 19 x 593 x 91 = 101652045768

Therefore, the lowest common multiple of 729,408,228,593,364 is 101652045768.

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 408 x 228 x 593 x 364 = 14637894590592

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

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

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

593 : 1, 593

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,408,228,593,364, is 1.

Now, the common factors can be found like this.

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

408:2x 2x 2x 3x 17

228:2x 2x 3x 19

593:593

364:2x 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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 14637894590592/(1x144)

LCM = 14637894590592/144

LCM = 101652045768

Thus, we can understand that the LCM of 729,408,228,593,364 is 101652045768.

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

• LCM of 845, 370, 447, 799, 222
• LCM of 868, 992, 201, 642, 373
• LCM of 813, 250, 661, 684, 433
• LCM of 988, 412, 896, 275, 273
• LCM of 945, 535, 767, 346, 568

1. What is the LCM of 729, 408, 228, 593, 364?

Answer: LCM of 729, 408, 228, 593, 364 is 101652045768.

2. How to calculate the LCM of 729, 408, 228, 593, 364?

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, 408, 228, 593, 364.

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}.