Given numbers are 864,548,599,414

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

The LCM of 864,548,599,414 is 1630755936.

Find LCM of 864,548,599,414 with Prime Factorization

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

2 x 2 x 3 x 3 x 24 x 137 x 599 x 23 = 1630755936

Therefore, the lowest common multiple of 864,548,599,414 is 1630755936.

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.

864 x 548 x 599 x 414 = 117414427392

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

548 : 1, 2, 4, 137, 274, 548

599 : 1, 599

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,548,599,414, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

548:2x 2x 137

599:599

414:2x 3x 3x 23

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 117414427392/(1x72)

LCM = 117414427392/72

LCM = 1630755936

Thus, we can understand that the LCM of 864,548,599,414 is 1630755936.

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

• LCM of 573, 582, 182, 982
• LCM of 528, 391, 496, 299
• LCM of 726, 219, 775, 200
• LCM of 970, 238, 438, 575
• LCM of 144, 872, 500, 103

1. What is the LCM of 864, 548, 599, 414?

Answer: LCM of 864, 548, 599, 414 is 1630755936.

2. How to calculate the LCM of 864, 548, 599, 414?

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 864, 548, 599, 414.

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}.