Given numbers are 494,408,590,750,818

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

The LCM of 494,408,590,750,818 is 303978207000.

Find LCM of 494,408,590,750,818 with Prime Factorization

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

2 x 3 x 5 x 247 x 68 x 59 x 25 x 409 = 303978207000

Therefore, the lowest common multiple of 494,408,590,750,818 is 303978207000.

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.

494 x 408 x 590 x 750 x 818 = 72954769680000

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.

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

590 : 1, 2, 5, 10, 59, 118, 295, 590

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

818 : 1, 2, 409, 818

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,408,590,750,818, is 2.

Now, the common factors can be found like this.

494:2x 13x 19

408:2x 2x 2x 3x 17

590:2x 5x 59

750:2x 3x 5x 5x 5

818:2x 409

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 72954769680000/(2x120)

LCM = 72954769680000/240

LCM = 303978207000

Thus, we can understand that the LCM of 494,408,590,750,818 is 303978207000.

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

• LCM of 479, 210, 379, 574, 695
• LCM of 286, 701, 972, 744, 157
• LCM of 318, 351, 450, 641, 393
• LCM of 796, 650, 664, 438, 458
• LCM of 560, 168, 610, 687, 294

1. What is the LCM of 494, 408, 590, 750, 818?

Answer: LCM of 494, 408, 590, 750, 818 is 303978207000.

2. How to calculate the LCM of 494, 408, 590, 750, 818?

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 494, 408, 590, 750, 818.

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}.