Given numbers are 634,546,464,560,584

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

The LCM of 634,546,464,560,584 is 14656583760.

Find LCM of 634,546,464,560,584 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 317 x 39 x 29 x 5 x 73 = 14656583760

Therefore, the lowest common multiple of 634,546,464,560,584 is 14656583760.

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.

634 x 546 x 464 x 560 x 584 = 52529196195840

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.

634 : 1, 2, 317, 634

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

584 : 1, 2, 4, 8, 73, 146, 292, 584

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,546,464,560,584, is 2.

Now, the common factors can be found like this.

634:2x 317

546:2x 3x 7x 13

464:2x 2x 2x 2x 29

560:2x 2x 2x 2x 5x 7

584:2x 2x 2x 73

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 2x 2x 2x 7 = 1792

Therefore, the value for common factors is 1792.

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 = 52529196195840/(2x1792)

LCM = 52529196195840/3584

LCM = 14656583760

Thus, we can understand that the LCM of 634,546,464,560,584 is 14656583760.

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

• LCM of 956, 642, 555, 113, 441
• LCM of 342, 886, 963, 628, 385
• LCM of 191, 328, 205, 340, 200
• LCM of 838, 595, 537, 190, 649
• LCM of 700, 239, 556, 749, 469

1. What is the LCM of 634, 546, 464, 560, 584?

Answer: LCM of 634, 546, 464, 560, 584 is 14656583760.

2. How to calculate the LCM of 634, 546, 464, 560, 584?

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 634, 546, 464, 560, 584.

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}.