Given numbers are 827,327,468,678

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

The LCM of 827,327,468,678 is 4767122412.

Find LCM of 827,327,468,678 with Prime Factorization

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

2 x 3 x 827 x 109 x 78 x 113 = 4767122412

Therefore, the lowest common multiple of 827,327,468,678 is 4767122412.

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.

827 x 327 x 468 x 678 = 85808203416

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.

827 : 1, 827

327 : 1, 3, 109, 327

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

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 827,327,468,678, is 1.

Now, the common factors can be found like this.

827:827

327:3x 109

468:2x 2x 3x 3x 13

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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 85808203416/(1x18)

LCM = 85808203416/18

LCM = 4767122412

Thus, we can understand that the LCM of 827,327,468,678 is 4767122412.

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

• LCM of 928, 892, 201, 783
• LCM of 394, 786, 376, 787
• LCM of 534, 661, 328, 548
• LCM of 201, 528, 956, 724
• LCM of 236, 750, 585, 442

1. What is the LCM of 827, 327, 468, 678?

Answer: LCM of 827, 327, 468, 678 is 4767122412.

2. How to calculate the LCM of 827, 327, 468, 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 827, 327, 468, 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}.