Given numbers are 820,205,489,312,412

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

The LCM of 820,205,489,312,412 is 1073824440.

Find LCM of 820,205,489,312,412 with Prime Factorization

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

2 x 2 x 3 x 5 x 41 x 1 x 1 x 163 x 26 x 103 = 1073824440

Therefore, the lowest common multiple of 820,205,489,312,412 is 1073824440.

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.

820 x 205 x 489 x 312 x 412 = 10566432489600

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.

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

205 : 1, 5, 41, 205

489 : 1, 3, 163, 489

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

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,205,489,312,412, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

205:5x 41

489:3x 163

312:2x 2x 2x 3x 13

412:2x 2x 103

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 2x 3x 5x 41 = 9840

Therefore, the value for common factors is 9840.

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 = 10566432489600/(1x9840)

LCM = 10566432489600/9840

LCM = 1073824440

Thus, we can understand that the LCM of 820,205,489,312,412 is 1073824440.

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

• LCM of 289, 822, 482, 105, 824
• LCM of 658, 362, 383, 490, 767
• LCM of 504, 439, 730, 954, 955
• LCM of 485, 627, 450, 750, 168
• LCM of 245, 317, 804, 264, 200

1. What is the LCM of 820, 205, 489, 312, 412?

Answer: LCM of 820, 205, 489, 312, 412 is 1073824440.

2. How to calculate the LCM of 820, 205, 489, 312, 412?

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 820, 205, 489, 312, 412.

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}.