Given numbers are 500,687,630,363,563

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

The LCM of 500,687,630,363,563 is 491405260500.

Find LCM of 500,687,630,363,563 with Prime Factorization

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

2 x 3 x 5 x 50 x 229 x 21 x 121 x 563 = 491405260500

Therefore, the lowest common multiple of 500,687,630,363,563 is 491405260500.

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.

500 x 687 x 630 x 363 x 563 = 44226473445000

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.

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

687 : 1, 3, 229, 687

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

363 : 1, 3, 11, 33, 121, 363

563 : 1, 563

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 500,687,630,363,563, is 1.

Now, the common factors can be found like this.

500:2x 2x 5x 5x 5

687:3x 229

630:2x 3x 3x 5x 7

363:3x 11x 11

563:563

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 44226473445000/(1x90)

LCM = 44226473445000/90

LCM = 491405260500

Thus, we can understand that the LCM of 500,687,630,363,563 is 491405260500.

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

• LCM of 696, 762, 437, 414, 677
• LCM of 736, 274, 901, 912, 707
• LCM of 562, 781, 254, 345, 541
• LCM of 562, 895, 457, 233, 279
• LCM of 249, 355, 655, 340, 186

1. What is the LCM of 500, 687, 630, 363, 563?

Answer: LCM of 500, 687, 630, 363, 563 is 491405260500.

2. How to calculate the LCM of 500, 687, 630, 363, 563?

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 500, 687, 630, 363, 563.

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}.