Given numbers are 561,332,684,194,323

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

The LCM of 561,332,684,194,323 is 1029787308.

Find LCM of 561,332,684,194,323 with Prime Factorization

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

2 x 2 x 3 x 17 x 19 x 11 x 83 x 3 x 97 x 1 = 1029787308

Therefore, the lowest common multiple of 561,332,684,194,323 is 1029787308.

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.

561 x 332 x 684 x 194 x 323 = 7982911211616

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

332 : 1, 2, 4, 83, 166, 332

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

194 : 1, 2, 97, 194

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,332,684,194,323, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

332:2x 2x 83

684:2x 2x 3x 3x 19

194:2x 97

323:17x 19

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 3x 17x 19 = 7752

Therefore, the value for common factors is 7752.

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 = 7982911211616/(1x7752)

LCM = 7982911211616/7752

LCM = 1029787308

Thus, we can understand that the LCM of 561,332,684,194,323 is 1029787308.

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

• LCM of 373, 249, 316, 475, 566
• LCM of 204, 206, 747, 317, 217
• LCM of 665, 346, 911, 308, 601
• LCM of 743, 471, 965, 691, 415
• LCM of 258, 910, 668, 838, 431

1. What is the LCM of 561, 332, 684, 194, 323?

Answer: LCM of 561, 332, 684, 194, 323 is 1029787308.

2. How to calculate the LCM of 561, 332, 684, 194, 323?

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 561, 332, 684, 194, 323.

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}.