Given numbers are 518,331,592,728

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

The LCM of 518,331,592,728 is 17831632.

Find LCM of 518,331,592,728 with Prime Factorization

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

2 x 2 x 2 x 7 x 37 x 1 x 331 x 2 x 13 = 17831632

Therefore, the lowest common multiple of 518,331,592,728 is 17831632.

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.

518 x 331 x 592 x 728 = 73894283008

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.

518 : 1, 2, 7, 14, 37, 74, 259, 518

331 : 1, 331

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,331,592,728, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

331:331

592:2x 2x 2x 2x 37

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 7x 37 = 4144

Therefore, the value for common factors is 4144.

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 = 73894283008/(1x4144)

LCM = 73894283008/4144

LCM = 17831632

Thus, we can understand that the LCM of 518,331,592,728 is 17831632.

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

• LCM of 718, 324, 362, 873
• LCM of 652, 780, 600, 576
• LCM of 140, 805, 773, 256
• LCM of 538, 541, 633, 428
• LCM of 969, 700, 500, 111

1. What is the LCM of 518, 331, 592, 728?

Answer: LCM of 518, 331, 592, 728 is 17831632.

2. How to calculate the LCM of 518, 331, 592, 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 518, 331, 592, 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}.