Given numbers are 230,620,590,409

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

The LCM of 230,620,590,409 is 344108060.

Find LCM of 230,620,590,409 with Prime Factorization

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

2 x 5 x 23 x 62 x 59 x 409 = 344108060

Therefore, the lowest common multiple of 230,620,590,409 is 344108060.

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 620 x 590 x 409 = 34410806000

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

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

590 : 1, 2, 5, 10, 59, 118, 295, 590

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,620,590,409, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

620:2x 2x 5x 31

590:2x 5x 59

409:409

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 5 = 100

Therefore, the value for common factors is 100.

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 = 34410806000/(1x100)

LCM = 34410806000/100

LCM = 344108060

Thus, we can understand that the LCM of 230,620,590,409 is 344108060.

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

• LCM of 685, 649, 600, 503
• LCM of 389, 997, 854, 806
• LCM of 306, 824, 196, 653
• LCM of 433, 359, 736, 167
• LCM of 492, 592, 296, 966

1. What is the LCM of 230, 620, 590, 409?

Answer: LCM of 230, 620, 590, 409 is 344108060.

2. How to calculate the LCM of 230, 620, 590, 409?

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, 620, 590, 409.

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}.