Given numbers are 401,317,470,414

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

The LCM of 401,317,470,414 is 12367212930.

Find LCM of 401,317,470,414 with Prime Factorization

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

2 x 401 x 317 x 235 x 207 = 12367212930

Therefore, the lowest common multiple of 401,317,470,414 is 12367212930.

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.

401 x 317 x 470 x 414 = 24734425860

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.

401 : 1, 401

317 : 1, 317

470 : 1, 2, 5, 10, 47, 94, 235, 470

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,317,470,414, is 1.

Now, the common factors can be found like this.

401:401

317:317

470:2x 5x 47

414:2x 3x 3x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 24734425860/(1x2)

LCM = 24734425860/2

LCM = 12367212930

Thus, we can understand that the LCM of 401,317,470,414 is 12367212930.

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

• LCM of 587, 200, 240, 353
• LCM of 856, 377, 818, 803
• LCM of 342, 930, 742, 712
• LCM of 512, 219, 745, 473
• LCM of 707, 271, 204, 970

1. What is the LCM of 401, 317, 470, 414?

Answer: LCM of 401, 317, 470, 414 is 12367212930.

2. How to calculate the LCM of 401, 317, 470, 414?

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 401, 317, 470, 414.

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}.