Given numbers are 230,575,406,146

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

The LCM of 230,575,406,146 is 17041850.

Find LCM of 230,575,406,146 with Prime Factorization

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

2 x 5 x 23 x 1 x 5 x 203 x 73 = 17041850

Therefore, the lowest common multiple of 230,575,406,146 is 17041850.

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.

230 x 575 x 406 x 146 = 7839251000

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

146 : 1, 2, 73, 146

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,575,406,146, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

575:5x 5x 23

406:2x 7x 29

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.

2x 2x 5x 23 = 460

Therefore, the value for common factors is 460.

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 = 7839251000/(1x460)

LCM = 7839251000/460

LCM = 17041850

Thus, we can understand that the LCM of 230,575,406,146 is 17041850.

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

• LCM of 217, 405, 620, 280
• LCM of 150, 530, 485, 238
• LCM of 984, 277, 950, 177
• LCM of 970, 200, 738, 169
• LCM of 972, 617, 777, 269

1. What is the LCM of 230, 575, 406, 146?

Answer: LCM of 230, 575, 406, 146 is 17041850.

2. How to calculate the LCM of 230, 575, 406, 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 230, 575, 406, 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}.