Given numbers are 401,334,212,310,382

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

The LCM of 401,334,212,310,382 is 420302303420.

Find LCM of 401,334,212,310,382 with Prime Factorization

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

2 x 401 x 167 x 106 x 155 x 191 = 420302303420

Therefore, the lowest common multiple of 401,334,212,310,382 is 420302303420.

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 334 x 212 x 310 x 382 = 3362418427360

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

334 : 1, 2, 167, 334

212 : 1, 2, 4, 53, 106, 212

310 : 1, 2, 5, 10, 31, 62, 155, 310

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,334,212,310,382, is 1.

Now, the common factors can be found like this.

401:401

334:2x 167

212:2x 2x 53

310:2x 5x 31

382:2x 191

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 = 3362418427360/(1x8)

LCM = 3362418427360/8

LCM = 420302303420

Thus, we can understand that the LCM of 401,334,212,310,382 is 420302303420.

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

• LCM of 101, 664, 949, 143, 732
• LCM of 262, 991, 877, 404, 428
• LCM of 977, 916, 475, 968, 870
• LCM of 495, 668, 622, 664, 733
• LCM of 805, 533, 866, 662, 818

1. What is the LCM of 401, 334, 212, 310, 382?

Answer: LCM of 401, 334, 212, 310, 382 is 420302303420.

2. How to calculate the LCM of 401, 334, 212, 310, 382?

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, 334, 212, 310, 382.

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}.