Given numbers are 405,505,720,450

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

The LCM of 405,505,720,450 is 3272400.

Find LCM of 405,505,720,450 with Prime Factorization

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

2 x 3 x 3 x 5 x 9 x 101 x 8 x 5 = 3272400

Therefore, the lowest common multiple of 405,505,720,450 is 3272400.

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.

405 x 505 x 720 x 450 = 66266100000

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.

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

505 : 1, 5, 101, 505

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,505,720,450, is 5.

Now, the common factors can be found like this.

405:3x 3x 3x 3x 5

505:5x 101

720:2x 2x 2x 2x 3x 3x 5

450:2x 3x 3x 5x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 3x 5x 5 = 4050

Therefore, the value for common factors is 4050.

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 = 66266100000/(5x4050)

LCM = 66266100000/20250

LCM = 3272400

Thus, we can understand that the LCM of 405,505,720,450 is 3272400.

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

• LCM of 750, 571, 983, 425
• LCM of 503, 465, 327, 938
• LCM of 627, 719, 183, 530
• LCM of 544, 240, 300, 983
• LCM of 324, 523, 522, 736

1. What is the LCM of 405, 505, 720, 450?

Answer: LCM of 405, 505, 720, 450 is 3272400.

2. How to calculate the LCM of 405, 505, 720, 450?

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 405, 505, 720, 450.

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}.