Given numbers are 728,442,221,988,682

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

The LCM of 728,442,221,988,682 is 80184104.

Find LCM of 728,442,221,988,682 with Prime Factorization

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

2 x 2 x 13 x 17 x 14 x 1 x 1 x 19 x 341 = 80184104

Therefore, the lowest common multiple of 728,442,221,988,682 is 80184104.

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 442 x 221 x 988 x 682 = 47916737604736

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

221 : 1, 13, 17, 221

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,442,221,988,682, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

442:2x 13x 17

221:13x 17

988:2x 2x 13x 19

682:2x 11x 31

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 13x 13x 13x 17 = 597584

Therefore, the value for common factors is 597584.

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 = 47916737604736/(1x597584)

LCM = 47916737604736/597584

LCM = 80184104

Thus, we can understand that the LCM of 728,442,221,988,682 is 80184104.

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

• LCM of 221, 156, 458, 877, 938
• LCM of 625, 343, 806, 755, 449
• LCM of 807, 183, 827, 718, 505
• LCM of 147, 839, 290, 301, 474
• LCM of 985, 713, 477, 859, 126

1. What is the LCM of 728, 442, 221, 988, 682?

Answer: LCM of 728, 442, 221, 988, 682 is 80184104.

2. How to calculate the LCM of 728, 442, 221, 988, 682?

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, 442, 221, 988, 682.

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}.