Given numbers are 428,356,204,395

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

The LCM of 428,356,204,395 is 767363340.

Find LCM of 428,356,204,395 with Prime Factorization

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

2 x 2 x 107 x 89 x 51 x 395 = 767363340

Therefore, the lowest common multiple of 428,356,204,395 is 767363340.

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 356 x 204 x 395 = 12277813440

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

356 : 1, 2, 4, 89, 178, 356

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,356,204,395, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

356:2x 2x 89

204:2x 2x 3x 17

395:5x 79

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 12277813440/(1x16)

LCM = 12277813440/16

LCM = 767363340

Thus, we can understand that the LCM of 428,356,204,395 is 767363340.

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

• LCM of 114, 258, 211, 222
• LCM of 774, 199, 226, 395
• LCM of 603, 238, 850, 492
• LCM of 794, 423, 749, 645
• LCM of 384, 717, 740, 867

1. What is the LCM of 428, 356, 204, 395?

Answer: LCM of 428, 356, 204, 395 is 767363340.

2. How to calculate the LCM of 428, 356, 204, 395?

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, 356, 204, 395.

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}.