Given numbers are 441,685,412,312,556

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

The LCM of 441,685,412,312,556 is 449794898280.

Find LCM of 441,685,412,312,556 with Prime Factorization

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

2 x 2 x 3 x 147 x 685 x 103 x 26 x 139 = 449794898280

Therefore, the lowest common multiple of 441,685,412,312,556 is 449794898280.

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.

441 x 685 x 412 x 312 x 556 = 21590155117440

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.

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

685 : 1, 5, 137, 685

412 : 1, 2, 4, 103, 206, 412

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

556 : 1, 2, 4, 139, 278, 556

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,685,412,312,556, is 1.

Now, the common factors can be found like this.

441:3x 3x 7x 7

685:5x 137

412:2x 2x 103

312:2x 2x 2x 3x 13

556:2x 2x 139

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 3 = 48

Therefore, the value for common factors is 48.

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 = 21590155117440/(1x48)

LCM = 21590155117440/48

LCM = 449794898280

Thus, we can understand that the LCM of 441,685,412,312,556 is 449794898280.

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

• LCM of 935, 905, 871, 958, 408
• LCM of 380, 814, 993, 230, 767
• LCM of 703, 329, 846, 162, 693
• LCM of 174, 242, 580, 918, 811
• LCM of 544, 802, 601, 597, 979

1. What is the LCM of 441, 685, 412, 312, 556?

Answer: LCM of 441, 685, 412, 312, 556 is 449794898280.

2. How to calculate the LCM of 441, 685, 412, 312, 556?

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 441, 685, 412, 312, 556.

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}.