Given numbers are 414,381,646,317

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

The LCM of 414,381,646,317 is 5383513998.

Find LCM of 414,381,646,317 with Prime Factorization

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

2 x 3 x 69 x 127 x 323 x 317 = 5383513998

Therefore, the lowest common multiple of 414,381,646,317 is 5383513998.

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.

414 x 381 x 646 x 317 = 32301083988

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

381 : 1, 3, 127, 381

646 : 1, 2, 17, 19, 34, 38, 323, 646

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,381,646,317, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

381:3x 127

646:2x 17x 19

317:317

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 32301083988/(1x6)

LCM = 32301083988/6

LCM = 5383513998

Thus, we can understand that the LCM of 414,381,646,317 is 5383513998.

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

• LCM of 809, 510, 182, 714
• LCM of 570, 518, 953, 926
• LCM of 108, 132, 573, 870
• LCM of 290, 836, 767, 925
• LCM of 399, 863, 885, 708

1. What is the LCM of 414, 381, 646, 317?

Answer: LCM of 414, 381, 646, 317 is 5383513998.

2. How to calculate the LCM of 414, 381, 646, 317?

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 414, 381, 646, 317.

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}.