Given numbers are 486,321,575

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

The LCM of 486,321,575 is 29901150.

Find LCM of 486,321,575 with Prime Factorization

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

3 x 162 x 107 x 575 = 29901150

Therefore, the lowest common multiple of 486,321,575 is 29901150.

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.

486 x 321 x 575 = 89703450

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.

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

321 : 1, 3, 107, 321

575 : 1, 5, 23, 25, 115, 575

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,321,575, is 1.

Now, the common factors can be found like this.

486:2x 3x 3x 3x 3x 3

321:3x 107

575:5x 5x 23

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

3 = 3

Therefore, the value for common factors is 3.

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 = 89703450/(1x3)

LCM = 89703450/3

LCM = 29901150

Thus, we can understand that the LCM of 486,321,575 is 29901150.

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

• LCM of 637, 257, 756
• LCM of 113, 310, 510
• LCM of 461, 368, 315
• LCM of 180, 332, 776
• LCM of 784, 139, 205

1. What is the LCM of 486, 321, 575?

Answer: LCM of 486, 321, 575 is 29901150.

2. How to calculate the LCM of 486, 321, 575?

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 486, 321, 575.

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}.