Given numbers are 135,169,413,590

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

The LCM of 135,169,413,590 is 18845190.

Find LCM of 135,169,413,590 with Prime Factorization

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

5 x 59 x 27 x 169 x 7 x 2 = 18845190

Therefore, the lowest common multiple of 135,169,413,590 is 18845190.

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.

135 x 169 x 413 x 590 = 5559331050

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

169 : 1, 13, 169

413 : 1, 7, 59, 413

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,169,413,590, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

169:13x 13

413:7x 59

590:2x 5x 59

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

5x 59 = 295

Therefore, the value for common factors is 295.

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 = 5559331050/(1x295)

LCM = 5559331050/295

LCM = 18845190

Thus, we can understand that the LCM of 135,169,413,590 is 18845190.

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

• LCM of 708, 197, 696, 679
• LCM of 300, 429, 291, 353
• LCM of 134, 179, 596, 260
• LCM of 984, 295, 601, 848
• LCM of 499, 568, 442, 811

1. What is the LCM of 135, 169, 413, 590?

Answer: LCM of 135, 169, 413, 590 is 18845190.

2. How to calculate the LCM of 135, 169, 413, 590?

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 135, 169, 413, 590.

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}.