Given numbers are 638,513,352,728,990

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

The LCM of 638,513,352,728,990 is 2382700320.

Find LCM of 638,513,352,728,990 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 11 x 29 x 57 x 4 x 91 x 5 = 2382700320

Therefore, the lowest common multiple of 638,513,352,728,990 is 2382700320.

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.

638 x 513 x 352 x 728 x 990 = 83032340751360

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

513 : 1, 3, 9, 19, 27, 57, 171, 513

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

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,513,352,728,990, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

513:3x 3x 3x 19

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

728:2x 2x 2x 7x 13

990:2x 3x 3x 5x 11

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 3x 3x 11x 11 = 34848

Therefore, the value for common factors is 34848.

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 = 83032340751360/(1x34848)

LCM = 83032340751360/34848

LCM = 2382700320

Thus, we can understand that the LCM of 638,513,352,728,990 is 2382700320.

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

• LCM of 544, 402, 446, 704, 731
• LCM of 353, 745, 842, 500, 708
• LCM of 914, 790, 718, 303, 623
• LCM of 518, 414, 491, 459, 594
• LCM of 196, 913, 594, 992, 627

1. What is the LCM of 638, 513, 352, 728, 990?

Answer: LCM of 638, 513, 352, 728, 990 is 2382700320.

2. How to calculate the LCM of 638, 513, 352, 728, 990?

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 638, 513, 352, 728, 990.

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}.