Given numbers are 344,692,214,731

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

The LCM of 344,692,214,731 is 108252328.

Find LCM of 344,692,214,731 with Prime Factorization

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

2 x 2 x 43 x 2 x 173 x 107 x 17 = 108252328

Therefore, the lowest common multiple of 344,692,214,731 is 108252328.

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.

344 x 692 x 214 x 731 = 37238800832

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

692 : 1, 2, 4, 173, 346, 692

214 : 1, 2, 107, 214

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,692,214,731, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

692:2x 2x 173

214:2x 107

731:17x 43

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 2x 43 = 344

Therefore, the value for common factors is 344.

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 = 37238800832/(1x344)

LCM = 37238800832/344

LCM = 108252328

Thus, we can understand that the LCM of 344,692,214,731 is 108252328.

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

• LCM of 583, 842, 279, 308
• LCM of 592, 182, 584, 393
• LCM of 200, 230, 124, 759
• LCM of 844, 443, 683, 748
• LCM of 290, 986, 202, 522

1. What is the LCM of 344, 692, 214, 731?

Answer: LCM of 344, 692, 214, 731 is 108252328.

2. How to calculate the LCM of 344, 692, 214, 731?

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 344, 692, 214, 731.

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}.