Given numbers are 380,213,584,614

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

The LCM of 380,213,584,614 is 3627892680.

Find LCM of 380,213,584,614 with Prime Factorization

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

2 x 2 x 95 x 213 x 146 x 307 = 3627892680

Therefore, the lowest common multiple of 380,213,584,614 is 3627892680.

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.

380 x 213 x 584 x 614 = 29023141440

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

213 : 1, 3, 71, 213

584 : 1, 2, 4, 8, 73, 146, 292, 584

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,213,584,614, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

213:3x 71

584:2x 2x 2x 73

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.

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 = 29023141440/(1x8)

LCM = 29023141440/8

LCM = 3627892680

Thus, we can understand that the LCM of 380,213,584,614 is 3627892680.

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

• LCM of 212, 681, 849, 483
• LCM of 571, 404, 933, 826
• LCM of 541, 250, 623, 508
• LCM of 568, 585, 818, 239
• LCM of 423, 689, 808, 495

1. What is the LCM of 380, 213, 584, 614?

Answer: LCM of 380, 213, 584, 614 is 3627892680.

2. How to calculate the LCM of 380, 213, 584, 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 380, 213, 584, 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}.