Given numbers are 509,130,406,821

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

The LCM of 509,130,406,821 is 11028090710.

Find LCM of 509,130,406,821 with Prime Factorization

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

2 x 509 x 65 x 203 x 821 = 11028090710

Therefore, the lowest common multiple of 509,130,406,821 is 11028090710.

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.

509 x 130 x 406 x 821 = 22056181420

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.

509 : 1, 509

130 : 1, 2, 5, 10, 13, 26, 65, 130

406 : 1, 2, 7, 14, 29, 58, 203, 406

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,130,406,821, is 1.

Now, the common factors can be found like this.

509:509

130:2x 5x 13

406:2x 7x 29

821:821

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

2 = 2

Therefore, the value for common factors is 2.

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 = 22056181420/(1x2)

LCM = 22056181420/2

LCM = 11028090710

Thus, we can understand that the LCM of 509,130,406,821 is 11028090710.

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

• LCM of 936, 821, 903, 251
• LCM of 618, 237, 267, 450
• LCM of 237, 787, 386, 580
• LCM of 666, 689, 518, 665
• LCM of 349, 656, 194, 609

1. What is the LCM of 509, 130, 406, 821?

Answer: LCM of 509, 130, 406, 821 is 11028090710.

2. How to calculate the LCM of 509, 130, 406, 821?

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 509, 130, 406, 821.

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}.