Given numbers are 205,509,678,316

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

The LCM of 205,509,678,316 is 11177853780.

Find LCM of 205,509,678,316 with Prime Factorization

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

2 x 205 x 509 x 339 x 158 = 11177853780

Therefore, the lowest common multiple of 205,509,678,316 is 11177853780.

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.

205 x 509 x 678 x 316 = 22355707560

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.

205 : 1, 5, 41, 205

509 : 1, 509

678 : 1, 2, 3, 6, 113, 226, 339, 678

316 : 1, 2, 4, 79, 158, 316

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,509,678,316, is 1.

Now, the common factors can be found like this.

205:5x 41

509:509

678:2x 3x 113

316:2x 2x 79

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 = 22355707560/(1x2)

LCM = 22355707560/2

LCM = 11177853780

Thus, we can understand that the LCM of 205,509,678,316 is 11177853780.

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

• LCM of 191, 869, 341, 340
• LCM of 789, 827, 646, 278
• LCM of 862, 648, 357, 675
• LCM of 683, 891, 249, 456
• LCM of 756, 514, 475, 238

1. What is the LCM of 205, 509, 678, 316?

Answer: LCM of 205, 509, 678, 316 is 11177853780.

2. How to calculate the LCM of 205, 509, 678, 316?

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 205, 509, 678, 316.

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}.