Given numbers are 406,208,949,329

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

The LCM of 406,208,949,329 is 144870544.

Find LCM of 406,208,949,329 with Prime Factorization

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

2 x 7 x 13 x 29 x 8 x 73 x 47 = 144870544

Therefore, the lowest common multiple of 406,208,949,329 is 144870544.

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 208 x 949 x 329 = 26366439008

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

949 : 1, 13, 73, 949

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,208,949,329, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

208:2x 2x 2x 2x 13

949:13x 73

329:7x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7x 13 = 182

Therefore, the value for common factors is 182.

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 = 26366439008/(1x182)

LCM = 26366439008/182

LCM = 144870544

Thus, we can understand that the LCM of 406,208,949,329 is 144870544.

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

• LCM of 441, 284, 112, 370
• LCM of 496, 670, 379, 405
• LCM of 269, 309, 699, 709
• LCM of 812, 597, 694, 700
• LCM of 401, 752, 819, 465

1. What is the LCM of 406, 208, 949, 329?

Answer: LCM of 406, 208, 949, 329 is 144870544.

2. How to calculate the LCM of 406, 208, 949, 329?

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, 208, 949, 329.

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}.