Given numbers are 201,165,454,338,722

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

The LCM of 201,165,454,338,722 is 306202340730.

Find LCM of 201,165,454,338,722 with Prime Factorization

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

2 x 3 x 67 x 55 x 227 x 169 x 361 = 306202340730

Therefore, the lowest common multiple of 201,165,454,338,722 is 306202340730.

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.

201 x 165 x 454 x 338 x 722 = 3674428088760

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.

201 : 1, 3, 67, 201

165 : 1, 3, 5, 11, 15, 33, 55, 165

454 : 1, 2, 227, 454

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

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,165,454,338,722, is 1.

Now, the common factors can be found like this.

201:3x 67

165:3x 5x 11

454:2x 227

338:2x 13x 13

722:2x 19x 19

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 3 = 12

Therefore, the value for common factors is 12.

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 = 3674428088760/(1x12)

LCM = 3674428088760/12

LCM = 306202340730

Thus, we can understand that the LCM of 201,165,454,338,722 is 306202340730.

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

• LCM of 162, 792, 405, 121, 398
• LCM of 952, 344, 970, 663, 888
• LCM of 573, 367, 220, 670, 128
• LCM of 398, 828, 244, 776, 343
• LCM of 404, 740, 453, 174, 109

1. What is the LCM of 201, 165, 454, 338, 722?

Answer: LCM of 201, 165, 454, 338, 722 is 306202340730.

2. How to calculate the LCM of 201, 165, 454, 338, 722?

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 201, 165, 454, 338, 722.

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}.