Given numbers are 208,580,508,494,645

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

The LCM of 208,580,508,494,645 is 9388114320.

Find LCM of 208,580,508,494,645 with Prime Factorization

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

2 x 2 x 5 x 13 x 4 x 29 x 127 x 19 x 129 = 9388114320

Therefore, the lowest common multiple of 208,580,508,494,645 is 9388114320.

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.

208 x 580 x 508 x 494 x 645 = 19527277785600

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

508 : 1, 2, 4, 127, 254, 508

494 : 1, 2, 13, 19, 26, 38, 247, 494

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,580,508,494,645, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

580:2x 2x 5x 29

508:2x 2x 127

494:2x 13x 19

645:3x 5x 43

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 5x 13 = 2080

Therefore, the value for common factors is 2080.

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 = 19527277785600/(1x2080)

LCM = 19527277785600/2080

LCM = 9388114320

Thus, we can understand that the LCM of 208,580,508,494,645 is 9388114320.

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

• LCM of 379, 501, 516, 683, 716
• LCM of 786, 300, 120, 539, 788
• LCM of 972, 109, 362, 176, 893
• LCM of 547, 978, 569, 131, 808
• LCM of 333, 755, 605, 795, 452

1. What is the LCM of 208, 580, 508, 494, 645?

Answer: LCM of 208, 580, 508, 494, 645 is 9388114320.

2. How to calculate the LCM of 208, 580, 508, 494, 645?

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 208, 580, 508, 494, 645.

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}.