Given numbers are 581,468,509,116

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

The LCM of 581,468,509,116 is 4013633988.

Find LCM of 581,468,509,116 with Prime Factorization

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

2 x 2 x 581 x 117 x 509 x 29 = 4013633988

Therefore, the lowest common multiple of 581,468,509,116 is 4013633988.

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.

581 x 468 x 509 x 116 = 16054535952

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.

581 : 1, 7, 83, 581

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

509 : 1, 509

116 : 1, 2, 4, 29, 58, 116

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 581,468,509,116, is 1.

Now, the common factors can be found like this.

581:7x 83

468:2x 2x 3x 3x 13

509:509

116:2x 2x 29

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 = 16054535952/(1x4)

LCM = 16054535952/4

LCM = 4013633988

Thus, we can understand that the LCM of 581,468,509,116 is 4013633988.

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

• LCM of 827, 142, 365, 694
• LCM of 379, 529, 112, 257
• LCM of 154, 885, 251, 842
• LCM of 260, 172, 997, 704
• LCM of 629, 619, 705, 471

1. What is the LCM of 581, 468, 509, 116?

Answer: LCM of 581, 468, 509, 116 is 4013633988.

2. How to calculate the LCM of 581, 468, 509, 116?

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 581, 468, 509, 116.

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}.