Given numbers are 414,426,843,412,678

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

The LCM of 414,426,843,412,678 is 192269622492.

Find LCM of 414,426,843,412,678 with Prime Factorization

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

2 x 3 x 69 x 71 x 281 x 206 x 113 = 192269622492

Therefore, the lowest common multiple of 414,426,843,412,678 is 192269622492.

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.

414 x 426 x 843 x 412 x 678 = 41530238458272

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

426 : 1, 2, 3, 6, 71, 142, 213, 426

843 : 1, 3, 281, 843

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

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,426,843,412,678, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

426:2x 3x 71

843:3x 281

412:2x 2x 103

678:2x 3x 113

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 3 = 216

Therefore, the value for common factors is 216.

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 = 41530238458272/(1x216)

LCM = 41530238458272/216

LCM = 192269622492

Thus, we can understand that the LCM of 414,426,843,412,678 is 192269622492.

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

• LCM of 276, 232, 148, 308, 751
• LCM of 357, 568, 434, 140, 509
• LCM of 131, 228, 805, 143, 488
• LCM of 907, 957, 156, 539, 558
• LCM of 583, 930, 583, 416, 293

1. What is the LCM of 414, 426, 843, 412, 678?

Answer: LCM of 414, 426, 843, 412, 678 is 192269622492.

2. How to calculate the LCM of 414, 426, 843, 412, 678?

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 414, 426, 843, 412, 678.

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}.