Given numbers are 726,417,810,212

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

The LCM of 726,417,810,212 is 1444079340.

Find LCM of 726,417,810,212 with Prime Factorization

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

2 x 3 x 121 x 139 x 135 x 106 = 1444079340

Therefore, the lowest common multiple of 726,417,810,212 is 1444079340.

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.

726 x 417 x 810 x 212 = 51986856240

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

417 : 1, 3, 139, 417

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

212 : 1, 2, 4, 53, 106, 212

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,417,810,212, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

417:3x 139

810:2x 3x 3x 3x 3x 5

212:2x 2x 53

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 51986856240/(1x36)

LCM = 51986856240/36

LCM = 1444079340

Thus, we can understand that the LCM of 726,417,810,212 is 1444079340.

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

• LCM of 501, 255, 870, 516
• LCM of 455, 513, 162, 327
• LCM of 406, 178, 474, 654
• LCM of 257, 673, 670, 573
• LCM of 223, 467, 586, 155

1. What is the LCM of 726, 417, 810, 212?

Answer: LCM of 726, 417, 810, 212 is 1444079340.

2. How to calculate the LCM of 726, 417, 810, 212?

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 726, 417, 810, 212.

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}.