Given numbers are 728,338,391,676,395

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

The LCM of 728,338,391,676,395 is 1461667480.

Find LCM of 728,338,391,676,395 with Prime Factorization

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

2 x 2 x 13 x 13 x 14 x 1 x 391 x 1 x 395 = 1461667480

Therefore, the lowest common multiple of 728,338,391,676,395 is 1461667480.

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.

728 x 338 x 391 x 676 x 395 = 25690267628480

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

391 : 1, 17, 23, 391

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,338,391,676,395, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

338:2x 13x 13

391:17x 23

676:2x 2x 13x 13

395:5x 79

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 13x 13x 13 = 17576

Therefore, the value for common factors is 17576.

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 = 25690267628480/(1x17576)

LCM = 25690267628480/17576

LCM = 1461667480

Thus, we can understand that the LCM of 728,338,391,676,395 is 1461667480.

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

• LCM of 227, 406, 676, 151, 714
• LCM of 492, 860, 941, 952, 903
• LCM of 192, 994, 649, 844, 696
• LCM of 731, 973, 111, 927, 889
• LCM of 247, 659, 280, 265, 539

1. What is the LCM of 728, 338, 391, 676, 395?

Answer: LCM of 728, 338, 391, 676, 395 is 1461667480.

2. How to calculate the LCM of 728, 338, 391, 676, 395?

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 728, 338, 391, 676, 395.

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}.