Given numbers are 730,214,643,445,800

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

The LCM of 730,214,643,445,800 is 357600077600.

Find LCM of 730,214,643,445,800 with Prime Factorization

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

2 x 5 x 73 x 107 x 643 x 89 x 80 = 357600077600

Therefore, the lowest common multiple of 730,214,643,445,800 is 357600077600.

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.

730 x 214 x 643 x 445 x 800 = 35760007760000

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

214 : 1, 2, 107, 214

643 : 1, 643

445 : 1, 5, 89, 445

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,214,643,445,800, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

214:2x 107

643:643

445:5x 89

800:2x 2x 2x 2x 2x 5x 5

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 35760007760000/(1x100)

LCM = 35760007760000/100

LCM = 357600077600

Thus, we can understand that the LCM of 730,214,643,445,800 is 357600077600.

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

• LCM of 491, 612, 490, 399, 252
• LCM of 428, 400, 510, 498, 896
• LCM of 891, 130, 991, 605, 770
• LCM of 385, 869, 365, 324, 469
• LCM of 821, 838, 355, 666, 251

1. What is the LCM of 730, 214, 643, 445, 800?

Answer: LCM of 730, 214, 643, 445, 800 is 357600077600.

2. How to calculate the LCM of 730, 214, 643, 445, 800?

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 730, 214, 643, 445, 800.

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}.