Given numbers are 489,317,916,820

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

The LCM of 489,317,916,820 is 29108341140.

Find LCM of 489,317,916,820 with Prime Factorization

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

2 x 2 x 489 x 317 x 229 x 205 = 29108341140

Therefore, the lowest common multiple of 489,317,916,820 is 29108341140.

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.

489 x 317 x 916 x 820 = 116433364560

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.

489 : 1, 3, 163, 489

317 : 1, 317

916 : 1, 2, 4, 229, 458, 916

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,317,916,820, is 1.

Now, the common factors can be found like this.

489:3x 163

317:317

916:2x 2x 229

820:2x 2x 5x 41

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 116433364560/(1x4)

LCM = 116433364560/4

LCM = 29108341140

Thus, we can understand that the LCM of 489,317,916,820 is 29108341140.

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

• LCM of 156, 448, 342, 885
• LCM of 760, 191, 412, 960
• LCM of 622, 754, 477, 229
• LCM of 471, 428, 112, 862
• LCM of 768, 449, 181, 906

1. What is the LCM of 489, 317, 916, 820?

Answer: LCM of 489, 317, 916, 820 is 29108341140.

2. How to calculate the LCM of 489, 317, 916, 820?

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 489, 317, 916, 820.

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}.