Given numbers are 321,219,438,422

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

The LCM of 321,219,438,422 is 9888726.

Find LCM of 321,219,438,422 with Prime Factorization

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

2 x 3 x 73 x 107 x 1 x 1 x 211 = 9888726

Therefore, the lowest common multiple of 321,219,438,422 is 9888726.

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 219 x 438 x 422 = 12993785964

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

219 : 1, 3, 73, 219

438 : 1, 2, 3, 6, 73, 146, 219, 438

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,219,438,422, is 1.

Now, the common factors can be found like this.

321:3x 107

219:3x 73

438:2x 3x 73

422:2x 211

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 73 = 1314

Therefore, the value for common factors is 1314.

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 = 12993785964/(1x1314)

LCM = 12993785964/1314

LCM = 9888726

Thus, we can understand that the LCM of 321,219,438,422 is 9888726.

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

• LCM of 123, 269, 322, 312
• LCM of 707, 124, 868, 936
• LCM of 445, 815, 528, 329
• LCM of 718, 663, 636, 831
• LCM of 631, 408, 579, 101

1. What is the LCM of 321, 219, 438, 422?

Answer: LCM of 321, 219, 438, 422 is 9888726.

2. How to calculate the LCM of 321, 219, 438, 422?

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, 219, 438, 422.

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}.