Given numbers are 406,432,624,808

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

The LCM of 406,432,624,808 is 115144848.

Find LCM of 406,432,624,808 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 203 x 9 x 13 x 101 = 115144848

Therefore, the lowest common multiple of 406,432,624,808 is 115144848.

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 432 x 624 x 808 = 88431243264

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

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

808 : 1, 2, 4, 8, 101, 202, 404, 808

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,432,624,808, is 2.

Now, the common factors can be found like this.

406:2x 7x 29

432:2x 2x 2x 2x 3x 3x 3

624:2x 2x 2x 2x 3x 13

808:2x 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 2x 2x 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 88431243264/(2x384)

LCM = 88431243264/768

LCM = 115144848

Thus, we can understand that the LCM of 406,432,624,808 is 115144848.

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

• LCM of 612, 359, 463, 174
• LCM of 332, 712, 541, 243
• LCM of 158, 825, 743, 217
• LCM of 852, 424, 911, 590
• LCM of 733, 758, 239, 972

1. What is the LCM of 406, 432, 624, 808?

Answer: LCM of 406, 432, 624, 808 is 115144848.

2. How to calculate the LCM of 406, 432, 624, 808?

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, 432, 624, 808.

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}.