Given numbers are 428,514,579,765,626

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

The LCM of 428,514,579,765,626 is 5083232498460.

Find LCM of 428,514,579,765,626 with Prime Factorization

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

2 x 3 x 214 x 257 x 193 x 255 x 313 = 5083232498460

Therefore, the lowest common multiple of 428,514,579,765,626 is 5083232498460.

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.

428 x 514 x 579 x 765 x 626 = 60998789981520

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.

428 : 1, 2, 4, 107, 214, 428

514 : 1, 2, 257, 514

579 : 1, 3, 193, 579

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

626 : 1, 2, 313, 626

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,514,579,765,626, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

514:2x 257

579:3x 193

765:3x 3x 5x 17

626:2x 313

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 60998789981520/(1x12)

LCM = 60998789981520/12

LCM = 5083232498460

Thus, we can understand that the LCM of 428,514,579,765,626 is 5083232498460.

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

• LCM of 931, 130, 108, 439, 109
• LCM of 242, 234, 425, 748, 613
• LCM of 227, 460, 350, 314, 566
• LCM of 372, 436, 510, 243, 290
• LCM of 768, 339, 842, 238, 378

1. What is the LCM of 428, 514, 579, 765, 626?

Answer: LCM of 428, 514, 579, 765, 626 is 5083232498460.

2. How to calculate the LCM of 428, 514, 579, 765, 626?

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 428, 514, 579, 765, 626.

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}.