Given numbers are 428,444,609,880,730

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

The LCM of 428,444,609,880,730 is 154884631440.

Find LCM of 428,444,609,880,730 with Prime Factorization

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

2 x 2 x 3 x 5 x 107 x 37 x 203 x 44 x 73 = 154884631440

Therefore, the lowest common multiple of 428,444,609,880,730 is 154884631440.

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.

428 x 444 x 609 x 880 x 730 = 74344623091200

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.

428 : 1, 2, 4, 107, 214, 428

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

609 : 1, 3, 7, 21, 29, 87, 203, 609

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,444,609,880,730, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

444:2x 2x 3x 37

609:3x 7x 29

880:2x 2x 2x 2x 5x 11

730:2x 5x 73

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 3x 5 = 480

Therefore, the value for common factors is 480.

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 = 74344623091200/(1x480)

LCM = 74344623091200/480

LCM = 154884631440

Thus, we can understand that the LCM of 428,444,609,880,730 is 154884631440.

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

• LCM of 974, 951, 295, 191, 132
• LCM of 528, 748, 444, 916, 570
• LCM of 614, 827, 211, 971, 686
• LCM of 297, 363, 162, 796, 548
• LCM of 772, 989, 857, 886, 151

1. What is the LCM of 428, 444, 609, 880, 730?

Answer: LCM of 428, 444, 609, 880, 730 is 154884631440.

2. How to calculate the LCM of 428, 444, 609, 880, 730?

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 428, 444, 609, 880, 730.

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}.