Given numbers are 428,405,206,734

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

The LCM of 428,405,206,734 is 6552425340.

Find LCM of 428,405,206,734 with Prime Factorization

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

2 x 214 x 405 x 103 x 367 = 6552425340

Therefore, the lowest common multiple of 428,405,206,734 is 6552425340.

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 405 x 206 x 734 = 26209701360

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

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

206 : 1, 2, 103, 206

734 : 1, 2, 367, 734

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,405,206,734, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

405:3x 3x 3x 3x 5

206:2x 103

734:2x 367

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 = 26209701360/(1x4)

LCM = 26209701360/4

LCM = 6552425340

Thus, we can understand that the LCM of 428,405,206,734 is 6552425340.

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

• LCM of 767, 814, 890, 586
• LCM of 279, 574, 752, 422
• LCM of 328, 453, 437, 374
• LCM of 810, 898, 795, 853
• LCM of 888, 999, 522, 377

1. What is the LCM of 428, 405, 206, 734?

Answer: LCM of 428, 405, 206, 734 is 6552425340.

2. How to calculate the LCM of 428, 405, 206, 734?

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, 405, 206, 734.

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}.