Given numbers are 126,324,338,723,406

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

The LCM of 126,324,338,723,406 is 2678827788.

Find LCM of 126,324,338,723,406 with Prime Factorization

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

2 x 3 x 3 x 7 x 1 x 18 x 169 x 241 x 29 = 2678827788

Therefore, the lowest common multiple of 126,324,338,723,406 is 2678827788.

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.

126 x 324 x 338 x 723 x 406 = 4050387615456

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.

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

338 : 1, 2, 13, 26, 169, 338

723 : 1, 3, 241, 723

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,324,338,723,406, is 1.

Now, the common factors can be found like this.

126:2x 3x 3x 7

324:2x 2x 3x 3x 3x 3

338:2x 13x 13

723:3x 241

406:2x 7x 29

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 3x 3x 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 4050387615456/(1x1512)

LCM = 4050387615456/1512

LCM = 2678827788

Thus, we can understand that the LCM of 126,324,338,723,406 is 2678827788.

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

• LCM of 715, 261, 252, 337, 591
• LCM of 921, 574, 489, 991, 494
• LCM of 355, 588, 837, 695, 113
• LCM of 274, 482, 835, 200, 585
• LCM of 582, 413, 386, 188, 478

1. What is the LCM of 126, 324, 338, 723, 406?

Answer: LCM of 126, 324, 338, 723, 406 is 2678827788.

2. How to calculate the LCM of 126, 324, 338, 723, 406?

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 126, 324, 338, 723, 406.

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}.