Given numbers are 407,408,894,543

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

The LCM of 407,408,894,543 is 4478364264.

Find LCM of 407,408,894,543 with Prime Factorization

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

2 x 3 x 407 x 68 x 149 x 181 = 4478364264

Therefore, the lowest common multiple of 407,408,894,543 is 4478364264.

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.

407 x 408 x 894 x 543 = 80610556752

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.

407 : 1, 11, 37, 407

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

894 : 1, 2, 3, 6, 149, 298, 447, 894

543 : 1, 3, 181, 543

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,408,894,543, is 1.

Now, the common factors can be found like this.

407:11x 37

408:2x 2x 2x 3x 17

894:2x 3x 149

543:3x 181

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 80610556752/(1x18)

LCM = 80610556752/18

LCM = 4478364264

Thus, we can understand that the LCM of 407,408,894,543 is 4478364264.

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

• LCM of 993, 303, 857, 556
• LCM of 657, 426, 982, 483
• LCM of 745, 418, 426, 360
• LCM of 633, 277, 816, 870
• LCM of 776, 480, 443, 928

1. What is the LCM of 407, 408, 894, 543?

Answer: LCM of 407, 408, 894, 543 is 4478364264.

2. How to calculate the LCM of 407, 408, 894, 543?

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 407, 408, 894, 543.

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}.