Given numbers are 810,438,361,468,612

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

The LCM of 810,438,361,468,612 is 9434901060.

Find LCM of 810,438,361,468,612 with Prime Factorization

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

2 x 2 x 3 x 3 x 45 x 73 x 361 x 13 x 17 = 9434901060

Therefore, the lowest common multiple of 810,438,361,468,612 is 9434901060.

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.

810 x 438 x 361 x 468 x 612 = 36682895321280

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

438 : 1, 2, 3, 6, 73, 146, 219, 438

361 : 1, 19, 361

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,438,361,468,612, is 1.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

438:2x 3x 73

361:19x 19

468:2x 2x 3x 3x 13

612:2x 2x 3x 3x 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 2x 3x 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 36682895321280/(1x3888)

LCM = 36682895321280/3888

LCM = 9434901060

Thus, we can understand that the LCM of 810,438,361,468,612 is 9434901060.

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

• LCM of 744, 884, 961, 557, 393
• LCM of 630, 906, 301, 511, 664
• LCM of 505, 910, 647, 222, 450
• LCM of 760, 948, 315, 942, 242
• LCM of 930, 846, 613, 677, 705

1. What is the LCM of 810, 438, 361, 468, 612?

Answer: LCM of 810, 438, 361, 468, 612 is 9434901060.

2. How to calculate the LCM of 810, 438, 361, 468, 612?

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 810, 438, 361, 468, 612.

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}.