Given numbers are 305,278,617,676

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

The LCM of 305,278,617,676 is 17682615340.

Find LCM of 305,278,617,676 with Prime Factorization

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

2 x 305 x 139 x 617 x 338 = 17682615340

Therefore, the lowest common multiple of 305,278,617,676 is 17682615340.

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.

305 x 278 x 617 x 676 = 35365230680

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.

305 : 1, 5, 61, 305

278 : 1, 2, 139, 278

617 : 1, 617

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,278,617,676, is 1.

Now, the common factors can be found like this.

305:5x 61

278:2x 139

617:617

676:2x 2x 13x 13

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 = 35365230680/(1x2)

LCM = 35365230680/2

LCM = 17682615340

Thus, we can understand that the LCM of 305,278,617,676 is 17682615340.

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

• LCM of 170, 974, 995, 787
• LCM of 593, 435, 548, 666
• LCM of 799, 489, 444, 854
• LCM of 793, 347, 388, 379
• LCM of 715, 183, 709, 583

1. What is the LCM of 305, 278, 617, 676?

Answer: LCM of 305, 278, 617, 676 is 17682615340.

2. How to calculate the LCM of 305, 278, 617, 676?

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 305, 278, 617, 676.

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}.