Given numbers are 321,375,915,845,396

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

The LCM of 321,375,915,845,396 is 54601618500.

Find LCM of 321,375,915,845,396 with Prime Factorization

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

3 x 5 x 107 x 25 x 61 x 169 x 132 = 54601618500

Therefore, the lowest common multiple of 321,375,915,845,396 is 54601618500.

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 375 x 915 x 845 x 396 = 36856092487500

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

375 : 1, 3, 5, 15, 25, 75, 125, 375

915 : 1, 3, 5, 15, 61, 183, 305, 915

845 : 1, 5, 13, 65, 169, 845

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,375,915,845,396, is 1.

Now, the common factors can be found like this.

321:3x 107

375:3x 5x 5x 5

915:3x 5x 61

845:5x 13x 13

396:2x 2x 3x 3x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 5x 5 = 675

Therefore, the value for common factors is 675.

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 = 36856092487500/(1x675)

LCM = 36856092487500/675

LCM = 54601618500

Thus, we can understand that the LCM of 321,375,915,845,396 is 54601618500.

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

• LCM of 385, 950, 213, 782, 877
• LCM of 207, 554, 553, 790, 678
• LCM of 800, 732, 284, 963, 132
• LCM of 148, 797, 844, 446, 963
• LCM of 871, 663, 572, 362, 149

1. What is the LCM of 321, 375, 915, 845, 396?

Answer: LCM of 321, 375, 915, 845, 396 is 54601618500.

2. How to calculate the LCM of 321, 375, 915, 845, 396?

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, 375, 915, 845, 396.

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}.