Given numbers are 264,396,919,548,207

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

The LCM of 264,396,919,548,207 is 2293449048.

Find LCM of 264,396,919,548,207 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 2 x 1 x 919 x 137 x 23 = 2293449048

Therefore, the lowest common multiple of 264,396,919,548,207 is 2293449048.

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.

264 x 396 x 919 x 548 x 207 = 10898469876096

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

919 : 1, 919

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

207 : 1, 3, 9, 23, 69, 207

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,396,919,548,207, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

396:2x 2x 3x 3x 11

919:919

548:2x 2x 137

207:3x 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 2x 3x 3x 3x 11 = 4752

Therefore, the value for common factors is 4752.

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 = 10898469876096/(1x4752)

LCM = 10898469876096/4752

LCM = 2293449048

Thus, we can understand that the LCM of 264,396,919,548,207 is 2293449048.

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

• LCM of 359, 811, 623, 547, 445
• LCM of 892, 789, 315, 478, 692
• LCM of 997, 112, 522, 355, 731
• LCM of 464, 533, 602, 562, 526
• LCM of 662, 239, 249, 344, 948

1. What is the LCM of 264, 396, 919, 548, 207?

Answer: LCM of 264, 396, 919, 548, 207 is 2293449048.

2. How to calculate the LCM of 264, 396, 919, 548, 207?

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 264, 396, 919, 548, 207.

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}.