Given numbers are 330,214,103,724,404

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

The LCM of 330,214,103,724,404 is 132973434660.

Find LCM of 330,214,103,724,404 with Prime Factorization

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

2 x 2 x 165 x 107 x 103 x 181 x 101 = 132973434660

Therefore, the lowest common multiple of 330,214,103,724,404 is 132973434660.

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.

330 x 214 x 103 x 724 x 404 = 2127574954560

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.

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

214 : 1, 2, 107, 214

103 : 1, 103

724 : 1, 2, 4, 181, 362, 724

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,214,103,724,404, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

214:2x 107

103:103

724:2x 2x 181

404:2x 2x 101

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 2 = 16

Therefore, the value for common factors is 16.

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 = 2127574954560/(1x16)

LCM = 2127574954560/16

LCM = 132973434660

Thus, we can understand that the LCM of 330,214,103,724,404 is 132973434660.

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

• LCM of 641, 457, 976, 624, 373
• LCM of 528, 280, 135, 979, 962
• LCM of 179, 138, 423, 871, 610
• LCM of 672, 817, 780, 837, 779
• LCM of 322, 813, 825, 283, 696

1. What is the LCM of 330, 214, 103, 724, 404?

Answer: LCM of 330, 214, 103, 724, 404 is 132973434660.

2. How to calculate the LCM of 330, 214, 103, 724, 404?

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 330, 214, 103, 724, 404.

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}.