Given numbers are 440,461,850,793,880

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

The LCM of 440,461,850,793,880 is 27344860400.

Find LCM of 440,461,850,793,880 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 1 x 461 x 85 x 793 x 2 = 27344860400

Therefore, the lowest common multiple of 440,461,850,793,880 is 27344860400.

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.

440 x 461 x 850 x 793 x 880 = 120317385760000

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

461 : 1, 461

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

793 : 1, 13, 61, 793

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,461,850,793,880, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

461:461

850:2x 5x 5x 17

793:13x 61

880:2x 2x 2x 2x 5x 11

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 5x 5x 11 = 4400

Therefore, the value for common factors is 4400.

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 = 120317385760000/(1x4400)

LCM = 120317385760000/4400

LCM = 27344860400

Thus, we can understand that the LCM of 440,461,850,793,880 is 27344860400.

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

• LCM of 383, 510, 519, 572, 513
• LCM of 352, 196, 864, 581, 888
• LCM of 725, 759, 462, 523, 177
• LCM of 978, 593, 486, 870, 105
• LCM of 742, 446, 792, 512, 515

1. What is the LCM of 440, 461, 850, 793, 880?

Answer: LCM of 440, 461, 850, 793, 880 is 27344860400.

2. How to calculate the LCM of 440, 461, 850, 793, 880?

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 440, 461, 850, 793, 880.

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}.