Given numbers are 574,928,270,478

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

The LCM of 574,928,270,478 is 8593331040.

Find LCM of 574,928,270,478 with Prime Factorization

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

2 x 287 x 464 x 135 x 239 = 8593331040

Therefore, the lowest common multiple of 574,928,270,478 is 8593331040.

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.

574 x 928 x 270 x 478 = 68746648320

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

478 : 1, 2, 239, 478

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,928,270,478, is 2.

Now, the common factors can be found like this.

574:2x 7x 41

928:2x 2x 2x 2x 2x 29

270:2x 3x 3x 3x 5

478:2x 239

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 68746648320/(2x4)

LCM = 68746648320/8

LCM = 8593331040

Thus, we can understand that the LCM of 574,928,270,478 is 8593331040.

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

• LCM of 242, 776, 687, 344
• LCM of 439, 806, 847, 504
• LCM of 344, 524, 874, 971
• LCM of 946, 140, 296, 432
• LCM of 546, 826, 253, 294

1. What is the LCM of 574, 928, 270, 478?

Answer: LCM of 574, 928, 270, 478 is 8593331040.

2. How to calculate the LCM of 574, 928, 270, 478?

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 574, 928, 270, 478.

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}.