Given numbers are 413,780,721,391,217

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

The LCM of 413,780,721,391,217 is 402179870820.

Find LCM of 413,780,721,391,217 with Prime Factorization

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

7 x 59 x 780 x 103 x 391 x 31 = 402179870820

Therefore, the lowest common multiple of 413,780,721,391,217 is 402179870820.

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.

413 x 780 x 721 x 391 x 217 = 19706813670180

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.

413 : 1, 7, 59, 413

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

721 : 1, 7, 103, 721

391 : 1, 17, 23, 391

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,780,721,391,217, is 1.

Now, the common factors can be found like this.

413:7x 59

780:2x 2x 3x 5x 13

721:7x 103

391:17x 23

217:7x 31

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 19706813670180/(1x49)

LCM = 19706813670180/49

LCM = 402179870820

Thus, we can understand that the LCM of 413,780,721,391,217 is 402179870820.

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

• LCM of 710, 532, 555, 522, 301
• LCM of 766, 814, 161, 146, 102
• LCM of 115, 720, 483, 566, 422
• LCM of 690, 370, 979, 374, 277
• LCM of 619, 683, 990, 494, 953

1. What is the LCM of 413, 780, 721, 391, 217?

Answer: LCM of 413, 780, 721, 391, 217 is 402179870820.

2. How to calculate the LCM of 413, 780, 721, 391, 217?

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 413, 780, 721, 391, 217.

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}.