Given numbers are 321,690,377,624,205

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

The LCM of 321,690,377,624,205 is 9129522480.

Find LCM of 321,690,377,624,205 with Prime Factorization

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

2 x 3 x 5 x 13 x 107 x 23 x 29 x 8 x 41 = 9129522480

Therefore, the lowest common multiple of 321,690,377,624,205 is 9129522480.

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.

321 x 690 x 377 x 624 x 205 = 10681541301600

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.

321 : 1, 3, 107, 321

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

377 : 1, 13, 29, 377

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

205 : 1, 5, 41, 205

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,690,377,624,205, is 1.

Now, the common factors can be found like this.

321:3x 107

690:2x 3x 5x 23

377:13x 29

624:2x 2x 2x 2x 3x 13

205:5x 41

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 5x 13 = 1170

Therefore, the value for common factors is 1170.

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 = 10681541301600/(1x1170)

LCM = 10681541301600/1170

LCM = 9129522480

Thus, we can understand that the LCM of 321,690,377,624,205 is 9129522480.

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

• LCM of 809, 872, 158, 532, 800
• LCM of 365, 369, 157, 237, 183
• LCM of 644, 680, 460, 566, 227
• LCM of 398, 406, 621, 693, 373
• LCM of 826, 131, 623, 390, 567

1. What is the LCM of 321, 690, 377, 624, 205?

Answer: LCM of 321, 690, 377, 624, 205 is 9129522480.

2. How to calculate the LCM of 321, 690, 377, 624, 205?

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 321, 690, 377, 624, 205.

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}.