Given numbers are 678,772,420,816

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

The LCM of 678,772,420,816 is 622865040.

Find LCM of 678,772,420,816 with Prime Factorization

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

2 x 2 x 3 x 113 x 193 x 35 x 68 = 622865040

Therefore, the lowest common multiple of 678,772,420,816 is 622865040.

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.

678 x 772 x 420 x 816 = 179385131520

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.

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

772 : 1, 2, 4, 193, 386, 772

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,772,420,816, is 2.

Now, the common factors can be found like this.

678:2x 3x 113

772:2x 2x 193

420:2x 2x 3x 5x 7

816:2x 2x 2x 2x 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 3 = 144

Therefore, the value for common factors is 144.

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 = 179385131520/(2x144)

LCM = 179385131520/288

LCM = 622865040

Thus, we can understand that the LCM of 678,772,420,816 is 622865040.

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

• LCM of 879, 460, 832, 585
• LCM of 951, 310, 608, 452
• LCM of 538, 404, 260, 433
• LCM of 361, 863, 987, 405
• LCM of 934, 431, 728, 669

1. What is the LCM of 678, 772, 420, 816?

Answer: LCM of 678, 772, 420, 816 is 622865040.

2. How to calculate the LCM of 678, 772, 420, 816?

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 678, 772, 420, 816.

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}.