Given numbers are 339,382,410,614,258

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

The LCM of 339,382,410,614,258 is 350448135090.

Find LCM of 339,382,410,614,258 with Prime Factorization

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

2 x 3 x 113 x 191 x 205 x 307 x 43 = 350448135090

Therefore, the lowest common multiple of 339,382,410,614,258 is 350448135090.

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.

339 x 382 x 410 x 614 x 258 = 8410755242160

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.

339 : 1, 3, 113, 339

382 : 1, 2, 191, 382

410 : 1, 2, 5, 10, 41, 82, 205, 410

614 : 1, 2, 307, 614

258 : 1, 2, 3, 6, 43, 86, 129, 258

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,382,410,614,258, is 1.

Now, the common factors can be found like this.

339:3x 113

382:2x 191

410:2x 5x 41

614:2x 307

258:2x 3x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 8410755242160/(1x24)

LCM = 8410755242160/24

LCM = 350448135090

Thus, we can understand that the LCM of 339,382,410,614,258 is 350448135090.

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

• LCM of 312, 414, 743, 512, 516
• LCM of 378, 616, 434, 636, 799
• LCM of 339, 120, 952, 341, 780
• LCM of 186, 448, 151, 888, 903
• LCM of 133, 955, 665, 986, 555

1. What is the LCM of 339, 382, 410, 614, 258?

Answer: LCM of 339, 382, 410, 614, 258 is 350448135090.

2. How to calculate the LCM of 339, 382, 410, 614, 258?

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 339, 382, 410, 614, 258.

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}.