Given numbers are 418,596,728,500

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

The LCM of 418,596,728,500 is 2833831000.

Find LCM of 418,596,728,500 with Prime Factorization

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

2 x 2 x 209 x 149 x 182 x 125 = 2833831000

Therefore, the lowest common multiple of 418,596,728,500 is 2833831000.

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.

418 x 596 x 728 x 500 = 90682592000

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

596 : 1, 2, 4, 149, 298, 596

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

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,596,728,500, is 2.

Now, the common factors can be found like this.

418:2x 11x 19

596:2x 2x 149

728:2x 2x 2x 7x 13

500:2x 2x 5x 5x 5

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 2 = 16

Therefore, the value for common factors is 16.

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 = 90682592000/(2x16)

LCM = 90682592000/32

LCM = 2833831000

Thus, we can understand that the LCM of 418,596,728,500 is 2833831000.

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

• LCM of 380, 895, 515, 904
• LCM of 892, 534, 614, 762
• LCM of 701, 844, 123, 579
• LCM of 861, 634, 972, 350
• LCM of 426, 312, 454, 297

1. What is the LCM of 418, 596, 728, 500?

Answer: LCM of 418, 596, 728, 500 is 2833831000.

2. How to calculate the LCM of 418, 596, 728, 500?

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 418, 596, 728, 500.

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}.