Given numbers are 580,456,201,198,898

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

The LCM of 580,456,201,198,898 is 65639902680.

Find LCM of 580,456,201,198,898 with Prime Factorization

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

2 x 2 x 3 x 145 x 38 x 67 x 33 x 449 = 65639902680

Therefore, the lowest common multiple of 580,456,201,198,898 is 65639902680.

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.

580 x 456 x 201 x 198 x 898 = 9452145985920

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.

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

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

201 : 1, 3, 67, 201

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

898 : 1, 2, 449, 898

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,456,201,198,898, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

456:2x 2x 2x 3x 19

201:3x 67

198:2x 3x 3x 11

898:2x 449

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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 9452145985920/(1x144)

LCM = 9452145985920/144

LCM = 65639902680

Thus, we can understand that the LCM of 580,456,201,198,898 is 65639902680.

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

• LCM of 460, 264, 391, 325, 970
• LCM of 325, 584, 297, 296, 487
• LCM of 498, 238, 500, 895, 512
• LCM of 806, 124, 127, 143, 793
• LCM of 125, 770, 987, 655, 819

1. What is the LCM of 580, 456, 201, 198, 898?

Answer: LCM of 580, 456, 201, 198, 898 is 65639902680.

2. How to calculate the LCM of 580, 456, 201, 198, 898?

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 580, 456, 201, 198, 898.

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}.