Given numbers are 450,494,516,226,686

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

The LCM of 450,494,516,226,686 is 370493405100.

Find LCM of 450,494,516,226,686 with Prime Factorization

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

2 x 3 x 75 x 247 x 86 x 113 x 343 = 370493405100

Therefore, the lowest common multiple of 450,494,516,226,686 is 370493405100.

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.

450 x 494 x 516 x 226 x 686 = 17783683444800

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.

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

226 : 1, 2, 113, 226

686 : 1, 2, 7, 14, 49, 98, 343, 686

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,494,516,226,686, is 2.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

494:2x 13x 19

516:2x 2x 3x 43

226:2x 113

686:2x 7x 7x 7

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 3 = 24

Therefore, the value for common factors is 24.

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 = 17783683444800/(2x24)

LCM = 17783683444800/48

LCM = 370493405100

Thus, we can understand that the LCM of 450,494,516,226,686 is 370493405100.

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

• LCM of 131, 989, 910, 536, 446
• LCM of 682, 528, 110, 272, 976
• LCM of 151, 442, 905, 603, 542
• LCM of 179, 918, 960, 873, 131
• LCM of 803, 732, 320, 529, 238

1. What is the LCM of 450, 494, 516, 226, 686?

Answer: LCM of 450, 494, 516, 226, 686 is 370493405100.

2. How to calculate the LCM of 450, 494, 516, 226, 686?

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 450, 494, 516, 226, 686.

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}.