Given numbers are 460,912,497,791

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

The LCM of 460,912,497,791 is 5890165680.

Find LCM of 460,912,497,791 with Prime Factorization

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

2 x 2 x 7 x 115 x 228 x 71 x 113 = 5890165680

Therefore, the lowest common multiple of 460,912,497,791 is 5890165680.

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.

460 x 912 x 497 x 791 = 164924639040

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

497 : 1, 7, 71, 497

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,912,497,791, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

912:2x 2x 2x 2x 3x 19

497:7x 71

791:7x 113

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 7 = 28

Therefore, the value for common factors is 28.

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 = 164924639040/(1x28)

LCM = 164924639040/28

LCM = 5890165680

Thus, we can understand that the LCM of 460,912,497,791 is 5890165680.

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

• LCM of 152, 758, 896, 506
• LCM of 920, 625, 518, 860
• LCM of 750, 778, 728, 434
• LCM of 537, 365, 498, 196
• LCM of 644, 269, 665, 391

1. What is the LCM of 460, 912, 497, 791?

Answer: LCM of 460, 912, 497, 791 is 5890165680.

2. How to calculate the LCM of 460, 912, 497, 791?

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 460, 912, 497, 791.

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}.