Given numbers are 428,404,455,414

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

The LCM of 428,404,455,414 is 4071429180.

Find LCM of 428,404,455,414 with Prime Factorization

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

2 x 2 x 107 x 101 x 455 x 207 = 4071429180

Therefore, the lowest common multiple of 428,404,455,414 is 4071429180.

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 404 x 455 x 414 = 32571433440

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

404 : 1, 2, 4, 101, 202, 404

455 : 1, 5, 7, 13, 35, 65, 91, 455

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,404,455,414, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

404:2x 2x 101

455:5x 7x 13

414:2x 3x 3x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 32571433440/(1x8)

LCM = 32571433440/8

LCM = 4071429180

Thus, we can understand that the LCM of 428,404,455,414 is 4071429180.

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

• LCM of 333, 285, 151, 868
• LCM of 798, 357, 253, 369
• LCM of 121, 959, 501, 889
• LCM of 119, 485, 366, 117
• LCM of 601, 924, 852, 463

1. What is the LCM of 428, 404, 455, 414?

Answer: LCM of 428, 404, 455, 414 is 4071429180.

2. How to calculate the LCM of 428, 404, 455, 414?

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, 404, 455, 414.

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}.