Given numbers are 638,552,642,588,138

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

The LCM of 638,552,642,588,138 is 923229384.

Find LCM of 638,552,642,588,138 with Prime Factorization

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

2 x 2 x 3 x 23 x 319 x 2 x 107 x 49 x 1 = 923229384

Therefore, the lowest common multiple of 638,552,642,588,138 is 923229384.

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 552 x 642 x 588 x 138 = 18346414318848

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

138 : 1, 2, 3, 6, 23, 46, 69, 138

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,552,642,588,138, is 2.

Now, the common factors can be found like this.

638:2x 11x 29

552:2x 2x 2x 3x 23

642:2x 3x 107

588:2x 2x 3x 7x 7

138:2x 3x 23

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 3x 3x 3x 23 = 9936

Therefore, the value for common factors is 9936.

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 = 18346414318848/(2x9936)

LCM = 18346414318848/19872

LCM = 923229384

Thus, we can understand that the LCM of 638,552,642,588,138 is 923229384.

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

• LCM of 731, 502, 580, 310, 760
• LCM of 318, 182, 444, 812, 296
• LCM of 795, 997, 358, 429, 853
• LCM of 670, 606, 267, 214, 741
• LCM of 300, 245, 116, 827, 549

1. What is the LCM of 638, 552, 642, 588, 138?

Answer: LCM of 638, 552, 642, 588, 138 is 923229384.

2. How to calculate the LCM of 638, 552, 642, 588, 138?

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, 552, 642, 588, 138.

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}.