Given numbers are 728,687,126,399,364

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

The LCM of 728,687,126,399,364 is 28507752.

Find LCM of 728,687,126,399,364 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 1 x 229 x 3 x 19 x 2 = 28507752

Therefore, the lowest common multiple of 728,687,126,399,364 is 28507752.

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 687 x 126 x 399 x 364 = 9152356764096

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

687 : 1, 3, 229, 687

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

399 : 1, 3, 7, 19, 21, 57, 133, 399

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,687,126,399,364, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

687:3x 229

126:2x 3x 3x 7

399:3x 7x 19

364:2x 2x 7x 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 3x 3x 7x 7x 7x 13 = 321048

Therefore, the value for common factors is 321048.

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 = 9152356764096/(1x321048)

LCM = 9152356764096/321048

LCM = 28507752

Thus, we can understand that the LCM of 728,687,126,399,364 is 28507752.

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

• LCM of 545, 906, 400, 120, 297
• LCM of 384, 589, 926, 404, 905
• LCM of 975, 894, 337, 721, 696
• LCM of 484, 341, 234, 881, 161
• LCM of 377, 809, 548, 517, 702

1. What is the LCM of 728, 687, 126, 399, 364?

Answer: LCM of 728, 687, 126, 399, 364 is 28507752.

2. How to calculate the LCM of 728, 687, 126, 399, 364?

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, 687, 126, 399, 364.

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}.