Given numbers are 585,402,939,408

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

The LCM of 585,402,939,408 is 1668452760.

Find LCM of 585,402,939,408 with Prime Factorization

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

2 x 3 x 195 x 67 x 313 x 68 = 1668452760

Therefore, the lowest common multiple of 585,402,939,408 is 1668452760.

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.

585 x 402 x 939 x 408 = 90096449040

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.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

402 : 1, 2, 3, 6, 67, 134, 201, 402

939 : 1, 3, 313, 939

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,402,939,408, is 3.

Now, the common factors can be found like this.

585:3x 3x 5x 13

402:2x 3x 67

939:3x 313

408:2x 2x 2x 3x 17

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 = 90096449040/(3x18)

LCM = 90096449040/54

LCM = 1668452760

Thus, we can understand that the LCM of 585,402,939,408 is 1668452760.

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

• LCM of 994, 709, 751, 153
• LCM of 270, 738, 518, 755
• LCM of 310, 379, 842, 116
• LCM of 116, 983, 883, 483
• LCM of 408, 100, 279, 813

1. What is the LCM of 585, 402, 939, 408?

Answer: LCM of 585, 402, 939, 408 is 1668452760.

2. How to calculate the LCM of 585, 402, 939, 408?

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 585, 402, 939, 408.

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}.