Given numbers are 323,338,616,910,714

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

The LCM of 323,338,616,910,714 is 504383880.

Find LCM of 323,338,616,910,714 with Prime Factorization

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

2 x 7 x 13 x 17 x 19 x 13 x 44 x 5 x 3 = 504383880

Therefore, the lowest common multiple of 323,338,616,910,714 is 504383880.

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.

323 x 338 x 616 x 910 x 714 = 43695784292160

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.

323 : 1, 17, 19, 323

338 : 1, 2, 13, 26, 169, 338

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,338,616,910,714, is 1.

Now, the common factors can be found like this.

323:17x 19

338:2x 13x 13

616:2x 2x 2x 7x 11

910:2x 5x 7x 13

714:2x 3x 7x 17

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 7x 7x 13x 17 = 86632

Therefore, the value for common factors is 86632.

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 = 43695784292160/(1x86632)

LCM = 43695784292160/86632

LCM = 504383880

Thus, we can understand that the LCM of 323,338,616,910,714 is 504383880.

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

• LCM of 657, 995, 259, 492, 499
• LCM of 485, 812, 253, 458, 713
• LCM of 274, 190, 293, 458, 983
• LCM of 826, 149, 854, 472, 298
• LCM of 950, 200, 265, 803, 926

1. What is the LCM of 323, 338, 616, 910, 714?

Answer: LCM of 323, 338, 616, 910, 714 is 504383880.

2. How to calculate the LCM of 323, 338, 616, 910, 714?

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 323, 338, 616, 910, 714.

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}.