Given numbers are 576,422,146

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

The LCM of 576,422,146 is 8872128.

Find LCM of 576,422,146 with Prime Factorization

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

2 x 288 x 211 x 73 = 8872128

Therefore, the lowest common multiple of 576,422,146 is 8872128.

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.

576 x 422 x 146 = 35488512

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

422 : 1, 2, 211, 422

146 : 1, 2, 73, 146

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,422,146, is 2.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

422:2x 211

146:2x 73

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

2 = 2

Therefore, the value for common factors is 2.

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 = 35488512/(2x2)

LCM = 35488512/4

LCM = 8872128

Thus, we can understand that the LCM of 576,422,146 is 8872128.

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

• LCM of 157, 301, 308
• LCM of 323, 357, 903
• LCM of 596, 913, 326
• LCM of 115, 254, 286
• LCM of 124, 658, 321

1. What is the LCM of 576, 422, 146?

Answer: LCM of 576, 422, 146 is 8872128.

2. How to calculate the LCM of 576, 422, 146?

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 576, 422, 146.

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}.