Given numbers are 728,810,490,394

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

The LCM of 728,810,490,394 is 406584360.

Find LCM of 728,810,490,394 with Prime Factorization

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

2 x 5 x 7 x 52 x 81 x 7 x 197 = 406584360

Therefore, the lowest common multiple of 728,810,490,394 is 406584360.

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.

728 x 810 x 490 x 394 = 113843620800

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.

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

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

394 : 1, 2, 197, 394

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,810,490,394, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

810:2x 3x 3x 3x 3x 5

490:2x 5x 7x 7

394:2x 197

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 7 = 140

Therefore, the value for common factors is 140.

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 = 113843620800/(2x140)

LCM = 113843620800/280

LCM = 406584360

Thus, we can understand that the LCM of 728,810,490,394 is 406584360.

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

• LCM of 996, 129, 536, 225
• LCM of 879, 487, 226, 626
• LCM of 347, 293, 577, 325
• LCM of 589, 931, 904, 800
• LCM of 610, 580, 814, 165

1. What is the LCM of 728, 810, 490, 394?

Answer: LCM of 728, 810, 490, 394 is 406584360.

2. How to calculate the LCM of 728, 810, 490, 394?

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 728, 810, 490, 394.

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}.