Given numbers are 230,406,580,169

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

The LCM of 230,406,580,169 is 15781220.

Find LCM of 230,406,580,169 with Prime Factorization

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

2 x 5 x 29 x 23 x 7 x 2 x 169 = 15781220

Therefore, the lowest common multiple of 230,406,580,169 is 15781220.

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 406 x 580 x 169 = 9153107600

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

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

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,406,580,169, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

406:2x 7x 29

580:2x 2x 5x 29

169:13x 13

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 29 = 580

Therefore, the value for common factors is 580.

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 = 9153107600/(1x580)

LCM = 9153107600/580

LCM = 15781220

Thus, we can understand that the LCM of 230,406,580,169 is 15781220.

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

• LCM of 270, 342, 816, 226
• LCM of 979, 734, 962, 895
• LCM of 623, 300, 441, 144
• LCM of 807, 594, 223, 211
• LCM of 841, 935, 536, 823

1. What is the LCM of 230, 406, 580, 169?

Answer: LCM of 230, 406, 580, 169 is 15781220.

2. How to calculate the LCM of 230, 406, 580, 169?

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, 406, 580, 169.

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}.