Given numbers are 401,382,614

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

The LCM of 401,382,614 is 47026874.

Find LCM of 401,382,614 with Prime Factorization

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

2 x 401 x 191 x 307 = 47026874

Therefore, the lowest common multiple of 401,382,614 is 47026874.

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 382 x 614 = 94053748

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

382 : 1, 2, 191, 382

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,382,614, is 1.

Now, the common factors can be found like this.

401:401

382:2x 191

614:2x 307

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 = 94053748/(1x2)

LCM = 94053748/2

LCM = 47026874

Thus, we can understand that the LCM of 401,382,614 is 47026874.

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

• LCM of 750, 702, 519
• LCM of 663, 169, 586
• LCM of 721, 902, 353
• LCM of 825, 209, 500
• LCM of 848, 234, 253

1. What is the LCM of 401, 382, 614?

Answer: LCM of 401, 382, 614 is 47026874.

2. How to calculate the LCM of 401, 382, 614?

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, 382, 614.

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}.