Given numbers are 321,381,338,828

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

The LCM of 321,381,338,828 is 1901535948.

Find LCM of 321,381,338,828 with Prime Factorization

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

2 x 3 x 107 x 127 x 169 x 138 = 1901535948

Therefore, the lowest common multiple of 321,381,338,828 is 1901535948.

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 381 x 338 x 828 = 34227647064

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

381 : 1, 3, 127, 381

338 : 1, 2, 13, 26, 169, 338

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,381,338,828, is 1.

Now, the common factors can be found like this.

321:3x 107

381:3x 127

338:2x 13x 13

828:2x 2x 3x 3x 23

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 3 = 18

Therefore, the value for common factors is 18.

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 = 34227647064/(1x18)

LCM = 34227647064/18

LCM = 1901535948

Thus, we can understand that the LCM of 321,381,338,828 is 1901535948.

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

• LCM of 364, 999, 638, 589
• LCM of 790, 199, 550, 706
• LCM of 134, 883, 637, 666
• LCM of 709, 985, 509, 751
• LCM of 717, 399, 525, 575

1. What is the LCM of 321, 381, 338, 828?

Answer: LCM of 321, 381, 338, 828 is 1901535948.

2. How to calculate the LCM of 321, 381, 338, 828?

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, 381, 338, 828.

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}.