Given numbers are 322,334,454,451,684

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

The LCM of 322,334,454,451,684 is 1882785512916.

Find LCM of 322,334,454,451,684 with Prime Factorization

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

2 x 161 x 167 x 227 x 451 x 342 = 1882785512916

Therefore, the lowest common multiple of 322,334,454,451,684 is 1882785512916.

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.

322 x 334 x 454 x 451 x 684 = 15062284103328

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

334 : 1, 2, 167, 334

454 : 1, 2, 227, 454

451 : 1, 11, 41, 451

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,334,454,451,684, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

334:2x 167

454:2x 227

451:11x 41

684:2x 2x 3x 3x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 15062284103328/(1x8)

LCM = 15062284103328/8

LCM = 1882785512916

Thus, we can understand that the LCM of 322,334,454,451,684 is 1882785512916.

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

• LCM of 455, 755, 886, 212, 116
• LCM of 746, 702, 940, 712, 461
• LCM of 454, 821, 226, 616, 753
• LCM of 692, 197, 884, 111, 685
• LCM of 839, 165, 941, 511, 500

1. What is the LCM of 322, 334, 454, 451, 684?

Answer: LCM of 322, 334, 454, 451, 684 is 1882785512916.

2. How to calculate the LCM of 322, 334, 454, 451, 684?

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 322, 334, 454, 451, 684.

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}.