Given numbers are 428,482,789,514

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

The LCM of 428,482,789,514 is 20915629404.

Find LCM of 428,482,789,514 with Prime Factorization

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

2 x 214 x 241 x 789 x 257 = 20915629404

Therefore, the lowest common multiple of 428,482,789,514 is 20915629404.

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 482 x 789 x 514 = 83662517616

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

482 : 1, 2, 241, 482

789 : 1, 3, 263, 789

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,482,789,514, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

482:2x 241

789:3x 263

514:2x 257

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 = 83662517616/(1x4)

LCM = 83662517616/4

LCM = 20915629404

Thus, we can understand that the LCM of 428,482,789,514 is 20915629404.

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

• LCM of 303, 224, 275, 708
• LCM of 368, 636, 835, 533
• LCM of 336, 745, 910, 674
• LCM of 863, 314, 329, 345
• LCM of 717, 726, 433, 681

1. What is the LCM of 428, 482, 789, 514?

Answer: LCM of 428, 482, 789, 514 is 20915629404.

2. How to calculate the LCM of 428, 482, 789, 514?

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, 482, 789, 514.

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}.