Given numbers are 730,644,580,728,310

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

The LCM of 730,644,580,728,310 is 5494292440.

Find LCM of 730,644,580,728,310 with Prime Factorization

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

2 x 2 x 5 x 7 x 73 x 23 x 29 x 26 x 31 = 5494292440

Therefore, the lowest common multiple of 730,644,580,728,310 is 5494292440.

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 644 x 580 x 728 x 310 = 61536075328000

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

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

310 : 1, 2, 5, 10, 31, 62, 155, 310

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,644,580,728,310, is 2.

Now, the common factors can be found like this.

730:2x 5x 73

644:2x 2x 7x 23

580:2x 2x 5x 29

728:2x 2x 2x 7x 13

310:2x 5x 31

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 2x 5x 5x 7 = 5600

Therefore, the value for common factors is 5600.

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 = 61536075328000/(2x5600)

LCM = 61536075328000/11200

LCM = 5494292440

Thus, we can understand that the LCM of 730,644,580,728,310 is 5494292440.

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

• LCM of 118, 379, 126, 505, 769
• LCM of 821, 476, 271, 979, 875
• LCM of 157, 616, 363, 174, 650
• LCM of 696, 745, 167, 615, 741
• LCM of 242, 632, 967, 905, 539

1. What is the LCM of 730, 644, 580, 728, 310?

Answer: LCM of 730, 644, 580, 728, 310 is 5494292440.

2. How to calculate the LCM of 730, 644, 580, 728, 310?

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, 644, 580, 728, 310.

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}.