Given numbers are 511,757,675,728,209

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

The LCM of 511,757,675,728,209 is 5675448378600.

Find LCM of 511,757,675,728,209 with Prime Factorization

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

7 x 73 x 757 x 675 x 104 x 209 = 5675448378600

Therefore, the lowest common multiple of 511,757,675,728,209 is 5675448378600.

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.

511 x 757 x 675 x 728 x 209 = 39728138650200

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.

511 : 1, 7, 73, 511

757 : 1, 757

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,757,675,728,209, is 1.

Now, the common factors can be found like this.

511:7x 73

757:757

675:3x 3x 3x 5x 5

728:2x 2x 2x 7x 13

209:11x 19

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

7 = 7

Therefore, the value for common factors is 7.

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 = 39728138650200/(1x7)

LCM = 39728138650200/7

LCM = 5675448378600

Thus, we can understand that the LCM of 511,757,675,728,209 is 5675448378600.

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

• LCM of 753, 390, 139, 615, 768
• LCM of 901, 895, 580, 591, 612
• LCM of 545, 585, 294, 450, 677
• LCM of 895, 137, 127, 851, 224
• LCM of 384, 221, 566, 888, 474

1. What is the LCM of 511, 757, 675, 728, 209?

Answer: LCM of 511, 757, 675, 728, 209 is 5675448378600.

2. How to calculate the LCM of 511, 757, 675, 728, 209?

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 511, 757, 675, 728, 209.

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}.