Given numbers are 648,366,816,388,678

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

The LCM of 648,366,816,388,678 is 14731057872.

Find LCM of 648,366,816,388,678 with Prime Factorization

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

2 x 2 x 2 x 3 x 27 x 61 x 34 x 97 x 113 = 14731057872

Therefore, the lowest common multiple of 648,366,816,388,678 is 14731057872.

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.

648 x 366 x 816 x 388 x 678 = 50910536005632

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.

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

366 : 1, 2, 3, 6, 61, 122, 183, 366

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

388 : 1, 2, 4, 97, 194, 388

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,366,816,388,678, is 2.

Now, the common factors can be found like this.

648:2x 2x 2x 3x 3x 3x 3

366:2x 3x 61

816:2x 2x 2x 2x 3x 17

388:2x 2x 97

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 2x 2x 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 50910536005632/(2x1728)

LCM = 50910536005632/3456

LCM = 14731057872

Thus, we can understand that the LCM of 648,366,816,388,678 is 14731057872.

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

• LCM of 592, 737, 631, 355, 436
• LCM of 327, 347, 369, 634, 726
• LCM of 924, 117, 199, 194, 584
• LCM of 313, 380, 229, 721, 240
• LCM of 970, 750, 622, 577, 800

1. What is the LCM of 648, 366, 816, 388, 678?

Answer: LCM of 648, 366, 816, 388, 678 is 14731057872.

2. How to calculate the LCM of 648, 366, 816, 388, 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 648, 366, 816, 388, 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}.