Given numbers are 428,494,406,480,284

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

The LCM of 428,494,406,480,284 is 182842164960.

Find LCM of 428,494,406,480,284 with Prime Factorization

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

2 x 2 x 107 x 247 x 203 x 120 x 71 = 182842164960

Therefore, the lowest common multiple of 428,494,406,480,284 is 182842164960.

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 494 x 406 x 480 x 284 = 11701898557440

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

494 : 1, 2, 13, 19, 26, 38, 247, 494

406 : 1, 2, 7, 14, 29, 58, 203, 406

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

284 : 1, 2, 4, 71, 142, 284

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,494,406,480,284, is 2.

Now, the common factors can be found like this.

428:2x 2x 107

494:2x 13x 19

406:2x 7x 29

480:2x 2x 2x 2x 2x 3x 5

284:2x 2x 71

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 11701898557440/(2x32)

LCM = 11701898557440/64

LCM = 182842164960

Thus, we can understand that the LCM of 428,494,406,480,284 is 182842164960.

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

• LCM of 624, 400, 187, 825, 539
• LCM of 579, 218, 559, 861, 337
• LCM of 810, 715, 846, 603, 384
• LCM of 233, 746, 500, 448, 260
• LCM of 374, 256, 340, 428, 618

1. What is the LCM of 428, 494, 406, 480, 284?

Answer: LCM of 428, 494, 406, 480, 284 is 182842164960.

2. How to calculate the LCM of 428, 494, 406, 480, 284?

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, 494, 406, 480, 284.

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}.