Given numbers are 812,327,894,414

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

The LCM of 812,327,894,414 is 2729852244.

Find LCM of 812,327,894,414 with Prime Factorization

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

2 x 3 x 406 x 109 x 149 x 69 = 2729852244

Therefore, the lowest common multiple of 812,327,894,414 is 2729852244.

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.

812 x 327 x 894 x 414 = 98274680784

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

327 : 1, 3, 109, 327

894 : 1, 2, 3, 6, 149, 298, 447, 894

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,327,894,414, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

327:3x 109

894:2x 3x 149

414:2x 3x 3x 23

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 98274680784/(1x36)

LCM = 98274680784/36

LCM = 2729852244

Thus, we can understand that the LCM of 812,327,894,414 is 2729852244.

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

• LCM of 302, 120, 220, 866
• LCM of 312, 128, 196, 648
• LCM of 796, 103, 611, 118
• LCM of 397, 488, 777, 340
• LCM of 887, 213, 617, 647

1. What is the LCM of 812, 327, 894, 414?

Answer: LCM of 812, 327, 894, 414 is 2729852244.

2. How to calculate the LCM of 812, 327, 894, 414?

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 812, 327, 894, 414.

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}.