Given numbers are 818,352,720,728

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

The LCM of 818,352,720,728 is 589548960.

Find LCM of 818,352,720,728 with Prime Factorization

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

2 x 2 x 2 x 2 x 409 x 22 x 45 x 91 = 589548960

Therefore, the lowest common multiple of 818,352,720,728 is 589548960.

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.

818 x 352 x 720 x 728 = 150924533760

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.

818 : 1, 2, 409, 818

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,352,720,728, is 2.

Now, the common factors can be found like this.

818:2x 409

352:2x 2x 2x 2x 2x 11

720:2x 2x 2x 2x 3x 3x 5

728:2x 2x 2x 7x 13

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 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 150924533760/(2x128)

LCM = 150924533760/256

LCM = 589548960

Thus, we can understand that the LCM of 818,352,720,728 is 589548960.

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

• LCM of 229, 278, 282, 387
• LCM of 872, 818, 581, 903
• LCM of 731, 406, 492, 481
• LCM of 727, 161, 332, 109
• LCM of 142, 911, 200, 652

1. What is the LCM of 818, 352, 720, 728?

Answer: LCM of 818, 352, 720, 728 is 589548960.

2. How to calculate the LCM of 818, 352, 720, 728?

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 818, 352, 720, 728.

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}.