Given numbers are 405,202,624,939

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

The LCM of 405,202,624,939 is 2663079120.

Find LCM of 405,202,624,939 with Prime Factorization

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

2 x 3 x 135 x 101 x 104 x 313 = 2663079120

Therefore, the lowest common multiple of 405,202,624,939 is 2663079120.

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.

405 x 202 x 624 x 939 = 47935424160

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.

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

202 : 1, 2, 101, 202

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

939 : 1, 3, 313, 939

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,202,624,939, is 1.

Now, the common factors can be found like this.

405:3x 3x 3x 3x 5

202:2x 101

624:2x 2x 2x 2x 3x 13

939:3x 313

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 47935424160/(1x18)

LCM = 47935424160/18

LCM = 2663079120

Thus, we can understand that the LCM of 405,202,624,939 is 2663079120.

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

• LCM of 115, 593, 397, 970
• LCM of 373, 572, 730, 574
• LCM of 344, 173, 835, 670
• LCM of 870, 524, 814, 976
• LCM of 569, 863, 725, 323

1. What is the LCM of 405, 202, 624, 939?

Answer: LCM of 405, 202, 624, 939 is 2663079120.

2. How to calculate the LCM of 405, 202, 624, 939?

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 405, 202, 624, 939.

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}.