Given numbers are 348,395,458,407

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

The LCM of 348,395,458,407 is 12811684380.

Find LCM of 348,395,458,407 with Prime Factorization

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

2 x 174 x 395 x 229 x 407 = 12811684380

Therefore, the lowest common multiple of 348,395,458,407 is 12811684380.

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.

348 x 395 x 458 x 407 = 25623368760

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

395 : 1, 5, 79, 395

458 : 1, 2, 229, 458

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,395,458,407, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

395:5x 79

458:2x 229

407:11x 37

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 = 25623368760/(1x2)

LCM = 25623368760/2

LCM = 12811684380

Thus, we can understand that the LCM of 348,395,458,407 is 12811684380.

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

• LCM of 483, 681, 342, 217
• LCM of 665, 333, 753, 703
• LCM of 310, 488, 111, 963
• LCM of 392, 310, 108, 928
• LCM of 879, 239, 803, 670

1. What is the LCM of 348, 395, 458, 407?

Answer: LCM of 348, 395, 458, 407 is 12811684380.

2. How to calculate the LCM of 348, 395, 458, 407?

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 348, 395, 458, 407.

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}.