Given numbers are 729,305,593,976,328

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

The LCM of 729,305,593,976,328 is 86493983760.

Find LCM of 729,305,593,976,328 with Prime Factorization

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

2 x 2 x 2 x 61 x 729 x 5 x 593 x 2 x 41 = 86493983760

Therefore, the lowest common multiple of 729,305,593,976,328 is 86493983760.

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 305 x 593 x 976 x 328 = 42209064074880

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

305 : 1, 5, 61, 305

593 : 1, 593

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,305,593,976,328, is 1.

Now, the common factors can be found like this.

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

305:5x 61

593:593

976:2x 2x 2x 2x 61

328:2x 2x 2x 41

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 61 = 488

Therefore, the value for common factors is 488.

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 = 42209064074880/(1x488)

LCM = 42209064074880/488

LCM = 86493983760

Thus, we can understand that the LCM of 729,305,593,976,328 is 86493983760.

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

• LCM of 536, 332, 915, 305, 923
• LCM of 352, 209, 205, 500, 212
• LCM of 243, 444, 229, 949, 981
• LCM of 436, 300, 174, 509, 866
• LCM of 843, 572, 733, 339, 115

1. What is the LCM of 729, 305, 593, 976, 328?

Answer: LCM of 729, 305, 593, 976, 328 is 86493983760.

2. How to calculate the LCM of 729, 305, 593, 976, 328?

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, 305, 593, 976, 328.

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}.