Given numbers are 406,204,138,379

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

The LCM of 406,204,138,379 is 360988404.

Find LCM of 406,204,138,379 with Prime Factorization

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

2 x 3 x 203 x 34 x 23 x 379 = 360988404

Therefore, the lowest common multiple of 406,204,138,379 is 360988404.

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.

406 x 204 x 138 x 379 = 4331860848

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

138 : 1, 2, 3, 6, 23, 46, 69, 138

379 : 1, 379

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,204,138,379, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

204:2x 2x 3x 17

138:2x 3x 23

379:379

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 = 4331860848/(1x12)

LCM = 4331860848/12

LCM = 360988404

Thus, we can understand that the LCM of 406,204,138,379 is 360988404.

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

• LCM of 514, 350, 602, 165
• LCM of 548, 284, 139, 260
• LCM of 340, 822, 185, 120
• LCM of 372, 660, 898, 802
• LCM of 575, 438, 935, 500

1. What is the LCM of 406, 204, 138, 379?

Answer: LCM of 406, 204, 138, 379 is 360988404.

2. How to calculate the LCM of 406, 204, 138, 379?

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 406, 204, 138, 379.

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}.