Given numbers are 428,439,642,289

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

The LCM of 428,439,642,289 is 162902364.

Find LCM of 428,439,642,289 with Prime Factorization

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

2 x 107 x 2 x 439 x 3 x 289 = 162902364

Therefore, the lowest common multiple of 428,439,642,289 is 162902364.

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 439 x 642 x 289 = 34861105896

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

439 : 1, 439

642 : 1, 2, 3, 6, 107, 214, 321, 642

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,439,642,289, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

439:439

642:2x 3x 107

289:17x 17

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 34861105896/(1x214)

LCM = 34861105896/214

LCM = 162902364

Thus, we can understand that the LCM of 428,439,642,289 is 162902364.

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

• LCM of 276, 640, 811, 325
• LCM of 785, 951, 496, 494
• LCM of 168, 327, 852, 610
• LCM of 823, 619, 312, 505
• LCM of 420, 201, 183, 357

1. What is the LCM of 428, 439, 642, 289?

Answer: LCM of 428, 439, 642, 289 is 162902364.

2. How to calculate the LCM of 428, 439, 642, 289?

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, 439, 642, 289.

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}.