Given numbers are 323,388,860,205,420

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

The LCM of 323,388,860,205,420 is 23199352260.

Find LCM of 323,388,860,205,420 with Prime Factorization

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

2 x 2 x 5 x 323 x 97 x 43 x 41 x 21 = 23199352260

Therefore, the lowest common multiple of 323,388,860,205,420 is 23199352260.

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.

323 x 388 x 860 x 205 x 420 = 9279740904000

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.

323 : 1, 17, 19, 323

388 : 1, 2, 4, 97, 194, 388

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

205 : 1, 5, 41, 205

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,388,860,205,420, is 1.

Now, the common factors can be found like this.

323:17x 19

388:2x 2x 97

860:2x 2x 5x 43

205:5x 41

420:2x 2x 3x 5x 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 2x 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 9279740904000/(1x400)

LCM = 9279740904000/400

LCM = 23199352260

Thus, we can understand that the LCM of 323,388,860,205,420 is 23199352260.

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

• LCM of 456, 575, 173, 657, 165
• LCM of 270, 732, 470, 114, 653
• LCM of 945, 486, 835, 196, 821
• LCM of 833, 613, 694, 946, 936
• LCM of 639, 486, 803, 578, 192

1. What is the LCM of 323, 388, 860, 205, 420?

Answer: LCM of 323, 388, 860, 205, 420 is 23199352260.

2. How to calculate the LCM of 323, 388, 860, 205, 420?

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 323, 388, 860, 205, 420.

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}.