Given numbers are 450,395,388,420

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

The LCM of 450,395,388,420 is 48276900.

Find LCM of 450,395,388,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 15 x 79 x 97 x 7 = 48276900

Therefore, the lowest common multiple of 450,395,388,420 is 48276900.

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.

450 x 395 x 388 x 420 = 28966140000

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.

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

395 : 1, 5, 79, 395

388 : 1, 2, 4, 97, 194, 388

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,395,388,420, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

395:5x 79

388:2x 2x 97

420:2x 2x 3x 5x 7

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 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 28966140000/(1x600)

LCM = 28966140000/600

LCM = 48276900

Thus, we can understand that the LCM of 450,395,388,420 is 48276900.

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

• LCM of 992, 616, 348, 570
• LCM of 417, 527, 731, 172
• LCM of 678, 196, 287, 287
• LCM of 558, 257, 691, 833
• LCM of 144, 480, 142, 522

1. What is the LCM of 450, 395, 388, 420?

Answer: LCM of 450, 395, 388, 420 is 48276900.

2. How to calculate the LCM of 450, 395, 388, 420?

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 450, 395, 388, 420.

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}.