Given numbers are 921,405,129,312,607

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

The LCM of 921,405,129,312,607 is 337507854840.

Find LCM of 921,405,129,312,607 with Prime Factorization

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

3 x 307 x 135 x 43 x 104 x 607 = 337507854840

Therefore, the lowest common multiple of 921,405,129,312,607 is 337507854840.

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.

921 x 405 x 129 x 312 x 607 = 9112712080680

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.

921 : 1, 3, 307, 921

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

129 : 1, 3, 43, 129

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

607 : 1, 607

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,405,129,312,607, is 1.

Now, the common factors can be found like this.

921:3x 307

405:3x 3x 3x 3x 5

129:3x 43

312:2x 2x 2x 3x 13

607:607

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 9112712080680/(1x27)

LCM = 9112712080680/27

LCM = 337507854840

Thus, we can understand that the LCM of 921,405,129,312,607 is 337507854840.

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

• LCM of 441, 787, 898, 323, 838
• LCM of 371, 774, 533, 984, 550
• LCM of 535, 470, 301, 874, 239
• LCM of 691, 380, 483, 706, 928
• LCM of 672, 735, 505, 664, 766

1. What is the LCM of 921, 405, 129, 312, 607?

Answer: LCM of 921, 405, 129, 312, 607 is 337507854840.

2. How to calculate the LCM of 921, 405, 129, 312, 607?

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 921, 405, 129, 312, 607.

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}.