Given numbers are 406,624,920,172

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

The LCM of 406,624,920,172 is 626393040.

Find LCM of 406,624,920,172 with Prime Factorization

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

2 x 2 x 2 x 203 x 78 x 115 x 43 = 626393040

Therefore, the lowest common multiple of 406,624,920,172 is 626393040.

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 624 x 920 x 172 = 40089154560

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

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

172 : 1, 2, 4, 43, 86, 172

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,624,920,172, is 2.

Now, the common factors can be found like this.

406:2x 7x 29

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

920:2x 2x 2x 5x 23

172:2x 2x 43

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 2 = 32

Therefore, the value for common factors is 32.

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 = 40089154560/(2x32)

LCM = 40089154560/64

LCM = 626393040

Thus, we can understand that the LCM of 406,624,920,172 is 626393040.

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

• LCM of 689, 416, 201, 250
• LCM of 537, 958, 656, 703
• LCM of 105, 228, 494, 635
• LCM of 218, 709, 667, 401
• LCM of 765, 962, 758, 464

1. What is the LCM of 406, 624, 920, 172?

Answer: LCM of 406, 624, 920, 172 is 626393040.

2. How to calculate the LCM of 406, 624, 920, 172?

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, 624, 920, 172.

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}.