Given numbers are 724,872,996,922,414

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

The LCM of 724,872,996,922,414 is 1250099043912.

Find LCM of 724,872,996,922,414 with Prime Factorization

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

2 x 2 x 3 x 181 x 218 x 83 x 461 x 69 = 1250099043912

Therefore, the lowest common multiple of 724,872,996,922,414 is 1250099043912.

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.

724 x 872 x 996 x 922 x 414 = 240019016431104

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.

724 : 1, 2, 4, 181, 362, 724

872 : 1, 2, 4, 8, 109, 218, 436, 872

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

922 : 1, 2, 461, 922

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,872,996,922,414, is 2.

Now, the common factors can be found like this.

724:2x 2x 181

872:2x 2x 2x 109

996:2x 2x 3x 83

922:2x 461

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 2x 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 240019016431104/(2x96)

LCM = 240019016431104/192

LCM = 1250099043912

Thus, we can understand that the LCM of 724,872,996,922,414 is 1250099043912.

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

• LCM of 479, 737, 700, 219, 465
• LCM of 565, 372, 219, 208, 989
• LCM of 549, 496, 352, 287, 897
• LCM of 333, 538, 380, 196, 608
• LCM of 185, 336, 888, 337, 451

1. What is the LCM of 724, 872, 996, 922, 414?

Answer: LCM of 724, 872, 996, 922, 414 is 1250099043912.

2. How to calculate the LCM of 724, 872, 996, 922, 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 724, 872, 996, 922, 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}.