Given numbers are 331,580,660,696,407

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

The LCM of 331,580,660,696,407 is 468815160.

Find LCM of 331,580,660,696,407 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 29 x 331 x 1 x 1 x 2 x 37 = 468815160

Therefore, the lowest common multiple of 331,580,660,696,407 is 468815160.

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.

331 x 580 x 660 x 696 x 407 = 35892488649600

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.

331 : 1, 331

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,580,660,696,407, is 1.

Now, the common factors can be found like this.

331:331

580:2x 2x 5x 29

660:2x 2x 3x 5x 11

696:2x 2x 2x 3x 29

407:11x 37

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 5x 11x 29 = 76560

Therefore, the value for common factors is 76560.

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 = 35892488649600/(1x76560)

LCM = 35892488649600/76560

LCM = 468815160

Thus, we can understand that the LCM of 331,580,660,696,407 is 468815160.

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

• LCM of 772, 314, 639, 410, 230
• LCM of 190, 983, 547, 415, 846
• LCM of 535, 230, 231, 211, 914
• LCM of 351, 296, 979, 287, 281
• LCM of 540, 699, 783, 365, 563

1. What is the LCM of 331, 580, 660, 696, 407?

Answer: LCM of 331, 580, 660, 696, 407 is 468815160.

2. How to calculate the LCM of 331, 580, 660, 696, 407?

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 331, 580, 660, 696, 407.

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}.