Given numbers are 345,713,115,382

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

The LCM of 345,713,115,382 is 4085490.

Find LCM of 345,713,115,382 with Prime Factorization

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

5 x 23 x 3 x 31 x 1 x 382 = 4085490

Therefore, the lowest common multiple of 345,713,115,382 is 4085490.

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.

345 x 713 x 115 x 382 = 10806121050

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

713 : 1, 23, 31, 713

115 : 1, 5, 23, 115

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,713,115,382, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

713:23x 31

115:5x 23

382:2x 191

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 23x 23 = 2645

Therefore, the value for common factors is 2645.

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 = 10806121050/(1x2645)

LCM = 10806121050/2645

LCM = 4085490

Thus, we can understand that the LCM of 345,713,115,382 is 4085490.

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

• LCM of 886, 429, 737, 314
• LCM of 291, 973, 747, 725
• LCM of 169, 533, 774, 771
• LCM of 261, 780, 722, 712
• LCM of 861, 793, 488, 964

1. What is the LCM of 345, 713, 115, 382?

Answer: LCM of 345, 713, 115, 382 is 4085490.

2. How to calculate the LCM of 345, 713, 115, 382?

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 345, 713, 115, 382.

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}.