Given numbers are 678,494,480,305

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

The LCM of 678,494,480,305 is 817234080.

Find LCM of 678,494,480,305 with Prime Factorization

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

2 x 3 x 5 x 113 x 247 x 16 x 61 = 817234080

Therefore, the lowest common multiple of 678,494,480,305 is 817234080.

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 494 x 480 x 305 = 49034044800

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

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

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,494,480,305, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

494:2x 13x 19

480:2x 2x 2x 2x 2x 3x 5

305:5x 61

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 5 = 60

Therefore, the value for common factors is 60.

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 = 49034044800/(1x60)

LCM = 49034044800/60

LCM = 817234080

Thus, we can understand that the LCM of 678,494,480,305 is 817234080.

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

• LCM of 517, 458, 523, 194
• LCM of 812, 663, 650, 637
• LCM of 918, 844, 255, 597
• LCM of 881, 513, 280, 880
• LCM of 776, 377, 141, 918

1. What is the LCM of 678, 494, 480, 305?

Answer: LCM of 678, 494, 480, 305 is 817234080.

2. How to calculate the LCM of 678, 494, 480, 305?

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, 494, 480, 305.

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}.