Given numbers are 392,608,920,278

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

The LCM of 392,608,920,278 is 476225120.

Find LCM of 392,608,920,278 with Prime Factorization

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

2 x 2 x 2 x 49 x 76 x 115 x 139 = 476225120

Therefore, the lowest common multiple of 392,608,920,278 is 476225120.

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.

392 x 608 x 920 x 278 = 60956815360

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

278 : 1, 2, 139, 278

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,608,920,278, is 2.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

608:2x 2x 2x 2x 2x 19

920:2x 2x 2x 5x 23

278:2x 139

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 2 = 64

Therefore, the value for common factors is 64.

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 = 60956815360/(2x64)

LCM = 60956815360/128

LCM = 476225120

Thus, we can understand that the LCM of 392,608,920,278 is 476225120.

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

• LCM of 266, 288, 344, 426
• LCM of 758, 396, 699, 600
• LCM of 668, 971, 197, 579
• LCM of 459, 577, 835, 872
• LCM of 968, 678, 772, 422

1. What is the LCM of 392, 608, 920, 278?

Answer: LCM of 392, 608, 920, 278 is 476225120.

2. How to calculate the LCM of 392, 608, 920, 278?

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 392, 608, 920, 278.

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}.