Given numbers are 457,744,416,406

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

The LCM of 457,744,416,406 is 3589124448.

Find LCM of 457,744,416,406 with Prime Factorization

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

2 x 2 x 2 x 457 x 93 x 52 x 203 = 3589124448

Therefore, the lowest common multiple of 457,744,416,406 is 3589124448.

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.

457 x 744 x 416 x 406 = 57425991168

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.

457 : 1, 457

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,744,416,406, is 1.

Now, the common factors can be found like this.

457:457

744:2x 2x 2x 3x 31

416:2x 2x 2x 2x 2x 13

406:2x 7x 29

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 = 57425991168/(1x16)

LCM = 57425991168/16

LCM = 3589124448

Thus, we can understand that the LCM of 457,744,416,406 is 3589124448.

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

• LCM of 136, 672, 396, 333
• LCM of 663, 862, 499, 109
• LCM of 374, 218, 478, 355
• LCM of 380, 269, 239, 453
• LCM of 641, 305, 167, 885

1. What is the LCM of 457, 744, 416, 406?

Answer: LCM of 457, 744, 416, 406 is 3589124448.

2. How to calculate the LCM of 457, 744, 416, 406?

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 457, 744, 416, 406.

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}.