Given numbers are 440,203,918,425,406

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

The LCM of 440,203,918,425,406 is 204989400.

Find LCM of 440,203,918,425,406 with Prime Factorization

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

2 x 5 x 7 x 17 x 29 x 44 x 1 x 27 x 5 x 1 = 204989400

Therefore, the lowest common multiple of 440,203,918,425,406 is 204989400.

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.

440 x 203 x 918 x 425 x 406 = 14148368388000

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

203 : 1, 7, 29, 203

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

425 : 1, 5, 17, 25, 85, 425

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 440,203,918,425,406, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

203:7x 29

918:2x 3x 3x 3x 17

425:5x 5x 17

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 5x 7x 17x 29 = 69020

Therefore, the value for common factors is 69020.

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 = 14148368388000/(1x69020)

LCM = 14148368388000/69020

LCM = 204989400

Thus, we can understand that the LCM of 440,203,918,425,406 is 204989400.

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

• LCM of 800, 303, 267, 150, 600
• LCM of 172, 398, 256, 321, 893
• LCM of 333, 166, 400, 657, 662
• LCM of 600, 607, 274, 185, 789
• LCM of 169, 209, 933, 828, 474

1. What is the LCM of 440, 203, 918, 425, 406?

Answer: LCM of 440, 203, 918, 425, 406 is 204989400.

2. How to calculate the LCM of 440, 203, 918, 425, 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 440, 203, 918, 425, 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}.