Given numbers are 576,489,815,21

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

The LCM of 576,489,815,21 is 3286080.

Find LCM of 576,489,815,21 with Prime Factorization

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

3 x 163 x 192 x 1 x 5 x 7 = 3286080

Therefore, the lowest common multiple of 576,489,815,21 is 3286080.

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.

576 x 489 x 815 x 21 = 4820679360

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

489 : 1, 3, 163, 489

815 : 1, 5, 163, 815

21 : 1, 3, 7, 21

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,489,815,21, is 1.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

489:3x 163

815:5x 163

21:3x 7

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 163 = 1467

Therefore, the value for common factors is 1467.

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 = 4820679360/(1x1467)

LCM = 4820679360/1467

LCM = 3286080

Thus, we can understand that the LCM of 576,489,815,21 is 3286080.

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

• LCM of 662, 485, 234, 77
• LCM of 140, 114, 825, 48
• LCM of 917, 907, 402, 99
• LCM of 811, 349, 966, 83
• LCM of 890, 520, 622, 11

1. What is the LCM of 576, 489, 815, 21?

Answer: LCM of 576, 489, 815, 21 is 3286080.

2. How to calculate the LCM of 576, 489, 815, 21?

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 576, 489, 815, 21.

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}.