Given numbers are 642,432,509,794,518

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

The LCM of 642,432,509,794,518 is 2419221189168.

Find LCM of 642,432,509,794,518 with Prime Factorization

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

2 x 3 x 107 x 72 x 509 x 397 x 259 = 2419221189168

Therefore, the lowest common multiple of 642,432,509,794,518 is 2419221189168.

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.

642 x 432 x 509 x 794 x 518 = 58061308540032

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

509 : 1, 509

794 : 1, 2, 397, 794

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,432,509,794,518, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

432:2x 2x 2x 2x 3x 3x 3

509:509

794:2x 397

518:2x 7x 37

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 3 = 24

Therefore, the value for common factors is 24.

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 = 58061308540032/(1x24)

LCM = 58061308540032/24

LCM = 2419221189168

Thus, we can understand that the LCM of 642,432,509,794,518 is 2419221189168.

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

• LCM of 243, 908, 305, 822, 200
• LCM of 253, 871, 927, 647, 616
• LCM of 634, 907, 245, 989, 514
• LCM of 900, 363, 874, 235, 623
• LCM of 590, 559, 772, 416, 264

1. What is the LCM of 642, 432, 509, 794, 518?

Answer: LCM of 642, 432, 509, 794, 518 is 2419221189168.

2. How to calculate the LCM of 642, 432, 509, 794, 518?

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 642, 432, 509, 794, 518.

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}.