Given numbers are 713,668,312,361

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

The LCM of 713,668,312,361 is 13411204872.

Find LCM of 713,668,312,361 with Prime Factorization

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

2 x 2 x 713 x 167 x 78 x 361 = 13411204872

Therefore, the lowest common multiple of 713,668,312,361 is 13411204872.

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.

713 x 668 x 312 x 361 = 53644819488

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.

713 : 1, 23, 31, 713

668 : 1, 2, 4, 167, 334, 668

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,668,312,361, is 1.

Now, the common factors can be found like this.

713:23x 31

668:2x 2x 167

312:2x 2x 2x 3x 13

361:19x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 53644819488/(1x4)

LCM = 53644819488/4

LCM = 13411204872

Thus, we can understand that the LCM of 713,668,312,361 is 13411204872.

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

• LCM of 185, 168, 216, 200
• LCM of 333, 656, 971, 939
• LCM of 110, 348, 391, 854
• LCM of 661, 517, 502, 291
• LCM of 757, 128, 464, 413

1. What is the LCM of 713, 668, 312, 361?

Answer: LCM of 713, 668, 312, 361 is 13411204872.

2. How to calculate the LCM of 713, 668, 312, 361?

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 713, 668, 312, 361.

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}.