Given numbers are 678,880,494,729,323

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

The LCM of 678,880,494,729,323 is 304392900240.

Find LCM of 678,880,494,729,323 with Prime Factorization

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

2 x 3 x 19 x 113 x 440 x 13 x 243 x 17 = 304392900240

Therefore, the lowest common multiple of 678,880,494,729,323 is 304392900240.

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 880 x 494 x 729 x 323 = 69401581254720

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

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

494 : 1, 2, 13, 19, 26, 38, 247, 494

729 : 1, 3, 9, 27, 81, 243, 729

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,880,494,729,323, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

880:2x 2x 2x 2x 5x 11

494:2x 13x 19

729:3x 3x 3x 3x 3x 3

323:17x 19

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 19 = 228

Therefore, the value for common factors is 228.

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 = 69401581254720/(1x228)

LCM = 69401581254720/228

LCM = 304392900240

Thus, we can understand that the LCM of 678,880,494,729,323 is 304392900240.

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

• LCM of 764, 227, 527, 566, 824
• LCM of 827, 318, 419, 267, 740
• LCM of 294, 666, 732, 425, 190
• LCM of 115, 870, 208, 185, 899
• LCM of 462, 430, 301, 525, 560

1. What is the LCM of 678, 880, 494, 729, 323?

Answer: LCM of 678, 880, 494, 729, 323 is 304392900240.

2. How to calculate the LCM of 678, 880, 494, 729, 323?

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, 880, 494, 729, 323.

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}.