Given numbers are 306,331,780,888,416

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

The LCM of 306,331,780,888,416 is 3897485280.

Find LCM of 306,331,780,888,416 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 51 x 331 x 5 x 37 x 4 = 3897485280

Therefore, the lowest common multiple of 306,331,780,888,416 is 3897485280.

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.

306 x 331 x 780 x 888 x 416 = 29184369776640

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

331 : 1, 331

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,331,780,888,416, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

331:331

780:2x 2x 3x 5x 13

888:2x 2x 2x 3x 37

416:2x 2x 2x 2x 2x 13

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 2x 2x 2x 3x 3x 13 = 7488

Therefore, the value for common factors is 7488.

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 = 29184369776640/(1x7488)

LCM = 29184369776640/7488

LCM = 3897485280

Thus, we can understand that the LCM of 306,331,780,888,416 is 3897485280.

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

• LCM of 729, 619, 742, 765, 161
• LCM of 595, 998, 122, 217, 724
• LCM of 357, 728, 332, 877, 961
• LCM of 588, 751, 666, 606, 657
• LCM of 465, 520, 628, 183, 568

1. What is the LCM of 306, 331, 780, 888, 416?

Answer: LCM of 306, 331, 780, 888, 416 is 3897485280.

2. How to calculate the LCM of 306, 331, 780, 888, 416?

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 306, 331, 780, 888, 416.

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}.