Given numbers are 728,797,450,853,323

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

The LCM of 728,797,450,853,323 is 35968619723400.

Find LCM of 728,797,450,853,323 with Prime Factorization

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

2 x 364 x 797 x 225 x 853 x 323 = 35968619723400

Therefore, the lowest common multiple of 728,797,450,853,323 is 35968619723400.

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 797 x 450 x 853 x 323 = 71937239446800

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

797 : 1, 797

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

853 : 1, 853

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,797,450,853,323, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

797:797

450:2x 3x 3x 5x 5

853:853

323:17x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 71937239446800/(1x2)

LCM = 71937239446800/2

LCM = 35968619723400

Thus, we can understand that the LCM of 728,797,450,853,323 is 35968619723400.

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

• LCM of 779, 659, 801, 653, 936
• LCM of 415, 431, 103, 732, 762
• LCM of 445, 801, 809, 532, 607
• LCM of 725, 862, 969, 853, 245
• LCM of 485, 291, 748, 653, 454

1. What is the LCM of 728, 797, 450, 853, 323?

Answer: LCM of 728, 797, 450, 853, 323 is 35968619723400.

2. How to calculate the LCM of 728, 797, 450, 853, 323?

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, 797, 450, 853, 323.

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}.