Given numbers are 571,488,378,571,460

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

The LCM of 571,488,378,571,460 is 6056414280.

Find LCM of 571,488,378,571,460 with Prime Factorization

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

2 x 2 x 571 x 1 x 122 x 189 x 1 x 115 = 6056414280

Therefore, the lowest common multiple of 571,488,378,571,460 is 6056414280.

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.

571 x 488 x 378 x 571 x 460 = 27665700431040

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.

571 : 1, 571

488 : 1, 2, 4, 8, 61, 122, 244, 488

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

571 : 1, 571

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,488,378,571,460, is 1.

Now, the common factors can be found like this.

571:571

488:2x 2x 2x 61

378:2x 3x 3x 3x 7

571:571

460:2x 2x 5x 23

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 571 = 4568

Therefore, the value for common factors is 4568.

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 = 27665700431040/(1x4568)

LCM = 27665700431040/4568

LCM = 6056414280

Thus, we can understand that the LCM of 571,488,378,571,460 is 6056414280.

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

• LCM of 383, 484, 489, 212, 155
• LCM of 932, 751, 282, 601, 576
• LCM of 743, 196, 339, 951, 421
• LCM of 312, 859, 351, 353, 532
• LCM of 675, 746, 264, 671, 221

1. What is the LCM of 571, 488, 378, 571, 460?

Answer: LCM of 571, 488, 378, 571, 460 is 6056414280.

2. How to calculate the LCM of 571, 488, 378, 571, 460?

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 571, 488, 378, 571, 460.

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}.